Bluebook SAT Test Linear Functions 6

Question 1

A company's weekly profit P (in dollars) is modeled by P(u) = 45u − 360, where u is the number of units sold. How many units must be sold for the company to break even (P = 0)?

Accepted Answer

8

Answer

Set P = 0: 45u − 360 = 0 → 45u = 360 → u = 8 units.

Question 2

If f(x) = −5x + 2 and g(x) = 3x − 6, for what value of x does f(x) = g(x)?

Accepted Answer

1

Answer

−5x + 2 = 3x − 6 → 8 = 8x → x = 1.

Question 3

The linear model T = 0.9F − 17.8 converts a temperature in degrees Fahrenheit (F) to a temperature in Celsius (T). Approximately what Fahrenheit temperature corresponds to 0°C?

Accepted Answer

20°F

Answer

Set T = 0: 0 = 0.9F − 17.8 → 0.9F = 17.8 → F ≈ 19.8 ≈ 20°F.

Question 4

Point A is at (0, 3) and point B is at (6, 0). What is the length of segment AB?

Accepted Answer

3√5

Answer

AB = √((6−0)² + (0−3)²) = √(36 + 9) = √45 = 3√5.

Question 5

A linear function f has the following values: f(1) = 4 and f(4) = 13. What is the slope of f?

Accepted Answer

3

Answer

Slope = (13 − 4)/(4 − 1) = 9/3 = 3.

Bluebook SAT Practice Test

Bluebook SAT Practice Test

Bluebook SAT Test Linear Functions 6