Question

The table represents the men's winning track times at each distance at the 2016 Summer Olympic Games. Based on this information. which of the following statements best describes the relationship between run distance and winning time?

Answer 1

Correct Answers:

On a graph, the slope of the line segment between any two points would be positive.

Rationale :

📚 The table shows that as the distance increases, the winning time also increases, indicating a direct relationship.

📚 The distance is the independent variable (you choose it), and the winning time depends on the distance, so the statement that distance is dependent is incorrect.

📚 An inverse relationship means one variable increases while the other decreases, which is not the case here.

📚 A negative covariance would indicate that the variables move in opposite directions, but here they move together, so covariance is positive.

📚 Therefore, between any two points plotted on a graph, the slope (change in time/change in distance) is positive.

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Answer 2

Correct Answers:

Each slice of cake is 480 calories.

Rationale :

🖋️ To find the calories per slice,

👉🏻 calculate the rate of change:

🖋️ Change in calories ÷ Change in slices = Calories per slice.

🖋️ Using values from the table: (960 - 0) calories ÷ (2 - 0) slices

▶️ = 480 calories per slice.

🖋️ This constant rate holds for other data points, confirming a direct linear relationship.

🖋️ The positive rate indicates more slices mean more calories with no negative or no relationship.

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Answer 3

Correct Answers:

-14

Rationale :

Let x be the unknown variable

Calculation:

↪️Multiply both sides by 5 to eliminate the denominator:

✓ −x + 36 = 10 × 5

✓ -x + 36 = 50

↪️Subtract 36 from both sides:

✓ −x = 50 − 36

✓ −x = 14

↪️Multiply both sides by -1 to solve for x

👉🏻x = −14

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Answer 4

Correct Answers:

$49.68

Rationale :

📗 Total amount = Bill + Gratuity

📗 Bill amount = $43.20

📗 Gratuity = 15% of $43.20

📗 Calculate gratuity:

▶️Gratuity = 0.15 × 43.20 = 6.48

Total amount = 43.20 + 6.48

👉🏻 = 49.68

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Answer 5

Correct Answers:

10%

Rationale :

Formula:

✍️ Percent decrease = (P original − P new) ÷P original × 100%

Given:

♦️ Original price = 200,000 dollars

♦️ New price = 180,000 dollars

Calculation:

▶️ (200,000−180,000)÷200,000×100%

=0.1×100%

👉🏻 = 10%

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Answer 6

Correct Answers:

9

Rationale :

Formula:

✍️ T_B = 2T_A and T_B = 3T_C

Given:

♦️ Time for Pool C, T_C= 6 hours

♦️ Pool B takes twice as long as Pool A: T_B= 2T_A

♦️ Pool B takes three times as long as Pool C:T_B= 3 × 6 =18 hours

Calculation:

▶️ 18=2TA

▶️ TA = 18÷2

▶️ TA = 9 hours

👉🏻= 9 hours

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Answer 7

Correct Answers:

16 inches

Rationale :

Formula:

✍️ Tape needed = Tape per inch × Tube diameter

Given:

♦️ Tape needed per inch diameter = 3.2 inches

♦️ Tube diameter D = 5D = 5D = 5 inches

Calculation:

▶️ Tape needed =3.2×5

▶️ Tape needed =16 inches

👉🏻= 16 inches

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Answer 8

Correct Order:

Order : 1 : No answer text available
Order : 2 : No answer text available
Order : 3 : No answer text available
Order : 4 : No answer text available

Rationale :

✍️Let's compare all values by converting them to decimals for easier ordering:

▶️ 3/4 ≈ 0.75

▶️5/7 ≈ 0.714

▶️70% ≈ 0.70

▶️0.79 (already decimal)

👉🏻= 70%, 5/7, 3/4, 0.79

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Answer 9

Correct Answers:

Number of hours worked

Rationale :

❇️ The independent variable is the one that is changed or controlled to observe its effect.

❇️Here, the number of hours worked is the variable that changes and affects other factors.

❇️ The amount of taxes withheld, retirement savings withheld, and sick leave hours granted all depend on hours worked, so they are dependent variables.

❇️ Identifying the independent variable is crucial for understanding cause-and-effect relationships.

❇️Recognizing hours worked as independent helps clarify how employee benefits and deductions change.

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Answer 10

Correct Answers:

As the number of credit hours increases, the cost per credit hour decreases.

Rationale :

📚 An inverse relationship means that as one variable increases, the other decreases.

📚 If credit hours increase but the cost per credit hour decreases, the two variables move in opposite directions.

📚 When credit hours increase and cost per credit hour stays the same or increases, the relationship is not inverse.

📚 Understanding inverse relationships helps analyze pricing, discounts, or economies of scale.

📚 This scenario often applies to bulk discounts in tuition pricing.

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QLexNursing

1 :
The table represents the men's winning track times at each distance at the 2016 Summer Olympic Games. Based on this information. which of the following statements best describes the relationship between run distance and winning time?

2 :
Stimulus: 1 of 1
According to the table above. which of the following is the relationship between the slices of cake and number of calories?

3 :
Which of the following values of x satisfies the equation below?
(-x + 36) + 5 = 10

4 :
A customer at a restaurant receives a bill for $43.20. The customer wants to leave a 15% gratuity. Which of the following is the total amount the customer will pay?

5 :
An individual wishes to sell her home. The home was originally listed for $200,000. but the price has been lowered to $180,000. Which of the following is the percent decrease in the listed price at the home?

6 :
Three pools are being drained for the winter. It takes Pool B twice as long to drain compared to pool A, and it takes Pool B three times as long to drain compared to Pool C. If pool C drains in 6 hours. which of the following is the number of hours it takes Pool A to drain?

7 :
For each inch of a tube's diameter. 3.2 inches of tape is needed to wrap the tube. How much is needed to wrap a tube with a diameter of 5 inches?

8 :
Identify the order of the following values from least to greatest. (Move the options into the box on the right. placing them in order from the least to the greatest. Use all the options.)

9 :
As the number of hours an employee works increases, the amount of taxes withheld, the amount of retirement savings withheld, and the number of sick leave hours granted increase. Which of the following is the independent variable?

10 :
Which Of the following statements describes an inverse relationship?

QLexNursing

1 : The table represents the men's winning track times at each distance at the 2016 Summer Olympic Games. Based on this information. which of the following statements best describes the relationship between run distance and winning time?

2 : Stimulus: 1 of 1According to the table above. which of the following is the relationship between the slices of cake and number of calories?

3 : Which of the following values of x satisfies the equation below?(-x + 36) + 5 = 10

4 : A customer at a restaurant receives a bill for $43.20. The customer wants to leave a 15% gratuity. Which of the following is the total amount the customer will pay?

5 : An individual wishes to sell her home. The home was originally listed for $200,000. but the price has been lowered to $180,000. Which of the following is the percent decrease in the listed price at the home?

6 : Three pools are being drained for the winter. It takes Pool B twice as long to drain compared to pool A, and it takes Pool B three times as long to drain compared to Pool C. If pool C drains in 6 hours. which of the following is the number of hours it takes Pool A to drain?

7 : For each inch of a tube's diameter. 3.2 inches of tape is needed to wrap the tube. How much is needed to wrap a tube with a diameter of 5 inches?

8 : Identify the order of the following values from least to greatest. (Move the options into the box on the right. placing them in order from the least to the greatest. Use all the options.)

9 : As the number of hours an employee works increases, the amount of taxes withheld, the amount of retirement savings withheld, and the number of sick leave hours granted increase. Which of the following is the independent variable?

10 : Which Of the following statements describes an inverse relationship?

1 :
The table represents the men's winning track times at each distance at the 2016 Summer Olympic Games. Based on this information. which of the following statements best describes the relationship between run distance and winning time?

2 :
Stimulus: 1 of 1
According to the table above. which of the following is the relationship between the slices of cake and number of calories?

3 :
Which of the following values of x satisfies the equation below?
(-x + 36) + 5 = 10

4 :
A customer at a restaurant receives a bill for $43.20. The customer wants to leave a 15% gratuity. Which of the following is the total amount the customer will pay?

5 :
An individual wishes to sell her home. The home was originally listed for $200,000. but the price has been lowered to $180,000. Which of the following is the percent decrease in the listed price at the home?

6 :
Three pools are being drained for the winter. It takes Pool B twice as long to drain compared to pool A, and it takes Pool B three times as long to drain compared to Pool C. If pool C drains in 6 hours. which of the following is the number of hours it takes Pool A to drain?

7 :
For each inch of a tube's diameter. 3.2 inches of tape is needed to wrap the tube. How much is needed to wrap a tube with a diameter of 5 inches?

8 :
Identify the order of the following values from least to greatest. (Move the options into the box on the right. placing them in order from the least to the greatest. Use all the options.)

9 :
As the number of hours an employee works increases, the amount of taxes withheld, the amount of retirement savings withheld, and the number of sick leave hours granted increase. Which of the following is the independent variable?

10 :
Which Of the following statements describes an inverse relationship?