Bluebook SAT Test Linear Functions 10

Question 1

A candle is 18 cm tall and burns at 0.6 cm per minute. The function h(t) = 18 − 0.6t models its height. After how many minutes will it be 7.2 cm tall?

Accepted Answer

18

Answer

12

Answer

9

Answer

15

Question 2

Line r is perpendicular to y = (3/4)x − 2. Which equation could represent line r?

Accepted Answer

y = −(4/3)x + 5

Answer

y = (3/4)x + 5

Answer

y = (4/3)x + 5

Answer

y = −(3/4)x + 5

Question 3

If g(x) = −3x + 7, for what value of x does g(x) = g(−1)?

Accepted Answer

−1

Answer

1

Answer

0

Answer

2

Question 4

Two lines intersect at (3, 5). One line has equation y = x + 2. Which of the following could be the other line's equation?

Accepted Answer

y = −2x + 11

Answer

y = 2x − 1

Answer

y = x − 2

Answer

y = −x + 2

Question 5

What does the x-intercept of a linear function represent in a context where y is profit (in dollars) and x is units sold?

Accepted Answer

The break-even point — the number of units where profit equals zero

Answer

The starting profit before any units are sold

Answer

The rate of profit increase per unit

Answer

The maximum profit achievable

Question 6

The table below shows a linear function. What is the missing value?
x: −1, 0, 1, 2 | y: −5, −2, 1, ?

Accepted Answer

4

Answer

3

Answer

5

Answer

2

Question 7

A swimmer starts 200 meters from a dock and swims toward it at 2.5 meters per second. Which function models distance d from the dock after t seconds?

Accepted Answer

d(t) = 200 − 2.5t

Answer

d(t) = 200 + 2.5t

Answer

d(t) = 2.5t − 200

Answer

d(t) = 2.5t + 200

Question 8

For f(x) = 5x − 9 and g(x) = 3x + 1, what is the x-value where f(x) = g(x)?

Accepted Answer

5

Answer

−5

Answer

2

Answer

−2