LEAP Ratios and Proportional Relationships 4

Question 1

A store marks up items by 25%. If an item costs $48 wholesale, what is the selling price?

Accepted Answer

$60

Answer

A 25% markup on $48 is $48 × 0.25 = $12; the selling price is $48 + $12 = $60.

Question 2

The equation y = 7x represents a proportional relationship. Which ordered pair lies on this line?

Accepted Answer

(3, 21)

Answer

When x = 3, y = 7 × 3 = 21, so (3, 21) satisfies the equation y = 7x.

Question 3

Two quantities x and y are proportional. The table shows: x = 5, y = 15; x = 10, y = 30. What is the value of y when x = 8?

Accepted Answer

24

Answer

The constant of proportionality is k = 15/5 = 3, so y = 3 × 8 = 24.

Question 4

A 6th grader runs 1.5 miles in 18 minutes. At this rate, how long will it take to run 4 miles?

Accepted Answer

48 minutes

Answer

The unit rate is 18/1.5 = 12 minutes per mile; 4 miles × 12 min/mile = 48 minutes.

Question 5

Which of the following describes a non-proportional linear relationship?

Accepted Answer

y = 2x + 4

Answer

y = 2x + 4 has a y-intercept of 4 (not zero), so it does not pass through the origin and is not proportional.

(LEAP) Louisiana Educational Assessment Program Practice Test