FAST Mathematical: Ratios and Proportional Relationships 3

Question 1

The graph of a proportional relationship is a straight line that must always pass through which point?

Accepted Answer

The origin (0, 0)

Answer

A proportional relationship has the equation y = kx, so when x = 0, y = 0, meaning it always passes through the origin.

Question 2

A train travels 240 miles in 4 hours. How long will it take the same train to travel 360 miles at the same speed?

Accepted Answer

6 hours

Answer

Speed = 240 ÷ 4 = 60 mph; time = 360 ÷ 60 = 6 hours.

Question 3

In a survey, 45 out of 60 students preferred science over art. What percentage of students preferred science?

Accepted Answer

75%

Answer

45 ÷ 60 = 0.75 = 75%.

Question 4

A price increased from $40 to $50. What is the percent increase?

Accepted Answer

25%

Answer

($50 minus $40) ÷ $40 = $10 ÷ $40 = 0.25 = 25%.

Question 5

What is the constant of proportionality in the equation y = 7x?

Accepted Answer

7

Answer

In y = kx, k is the constant of proportionality; here k = 7.

FAST - Florida State Assessment Readiness Practice Test