Bluebook SAT Test Ratios, Rates, Proportional Relationships, and Units 2

Question 1

A store sells apples at a rate of 3 for $1.50. At this rate, what is the cost of 8 apples?

Accepted Answer

$4.00

Answer

Unit price = $1.50 ÷ 3 = $0.50 each; 8 × $0.50 = $4.00.

Question 2

Two quantities x and y are proportional. When x = 4, y = 10. What is the value of y when x = 14?

Accepted Answer

35

Answer

The constant of proportionality k = y/x = 10/4 = 2.5; when x = 14, y = 2.5 × 14 = 35.

Question 3

A pump can fill a tank at a rate of 240 liters per minute. How many hours will it take to fill a 43,200-liter tank?

Accepted Answer

3

Answer

Time = 43,200 ÷ 240 = 180 minutes = 3 hours.

Question 4

On a blueprint, a room is drawn as 4 cm wide and 6 cm long. If the scale is 1 cm = 2.5 m, what is the actual area of the room in square meters?

Accepted Answer

150 m²

Answer

Actual dimensions: 4 × 2.5 = 10 m wide and 6 × 2.5 = 15 m long; area = 10 × 15 = 150 m².

Question 5

A car's speed is 60 miles per hour. Which of the following correctly converts this speed to feet per second? (1 mile = 5,280 feet; 1 hour = 3,600 seconds)

Accepted Answer

88 ft/s

Answer

60 × 5,280 ÷ 3,600 = 316,800 ÷ 3,600 = 88 feet per second.

Bluebook SAT Practice Test

Bluebook SAT Practice Test

Bluebook SAT Test Ratios, Rates, Proportional Relationships, and Units 2