# Linear Applications

> TSI Math Test Study Guide · Hightower High School P-TECH (2023)
>
> Source: [complete Markdown guide](../TSI-Math-Test-Study-Guide.md) · [original PDF](../1062198634-Hightower-TSI-Test-Study-Guide-v2-MATH.pdf)


#### 1. It costs Jenny 31.95d + 0.10m dollars to rent a car for d days and drive it m miles. How much does it cost Jenny to rent a car for 5 days if the car is driven a total of 600 miles?

**A.** \$159.75

**B.** \$165.75

**C.** \$219.75

**D.** \$759.75


#### 2. The formula for converting temperature from Fahrenheit (F) to Celsius (C) is C = ($\frac{5}{9}$)(F − 32). If the temperature is 212 degrees Fahrenheit (F), what is it in Celsius (C)?

**1.** 125 degrees Celsius

**2.** 98.6 degrees Celsius

**3.** 100 degrees Celsius

**4.** 82.49 degrees Celsius


#### 3. The relationship between a temperature in degrees Celsius (°C) and in Kelvins (K) is given by K = C + 273. What is the Celsius (°C) temperature for a temperature of 10 Kelvins (K)?

**1.** 263 degrees Celsius

**2.** 283 degrees Celsius

**3.** − 263 degrees Celsius

**4.** − 283 degrees Celsius


#### 4. The formula for converting temperature from Fahrenheit (F) to Celsius (C) is C = ($\frac{5}{9}$)(F − 32). If the temperature is 77 degrees Fahrenheit (F), what is it in Celsius (C)?

**1.** 25 degrees Celsius

**2.** 45 degrees Celsius

**3.** 41 $\frac{2}{3}$ degrees Celsius

**4.** 60 $\frac{5}{9}$ degrees Celsius


#### 5. In the equation below, T represents the boiling point of water in degrees Fahrenheit, and h represents the height above sea level in feet. If $T = 209^\circ\mathrm{F}$, what is the value of h? T = 212 − $\frac{h}{550}$

**A.** 1,750 ft

**B.** 1,650 ft

**C.** 1,550 ft

**D.** 1,450 ft


#### 6. The formula below represents how long a ball dropped from s feet takes to hit the ground in t seconds. How much longer would it take the ball to hit the ground from 32 feet than from 8 feet? t = $\frac{\sqrt{s}}{4}$

**1.** $\sqrt{2}$ sec

**2.** $\sqrt{0.5}$ sec

**3.** 0.707 sec

**4.** 1.414 sec


#### 7. If a circle has a radius, r, and area, A, find A.

**1.** $A = r\pi^2$

**2.** $A = \pi r^2$

**3.** $A = \sqrt{\frac{r}{\pi}}$

**4.** $A = \frac{\sqrt{r}}{\pi}$


#### 8. If a circle has a radius, r, and area, A, find r in terms of A.

**1.** $r = A\pi^2$

**2.** $r = \frac{A}{\pi}$

**3.** $r = \sqrt{\frac{A}{\pi}}$

**4.** $r = \frac{\sqrt{A}}{\pi}$


#### 9. \$10, 15, ____, 25, 30$ What number should fill in the blank?

**A.** 16

**B.** 18

**C.** 20

**D.** 23


#### 10. \$10.30, 7.85, ____, 2.95, 0.50$ which of the following should be placed in the blank above to complete the pattern?

**A.** 6.30

**B.** 5.40

**C.** 4.85

**D.** 3.45