# UNIT 2 LESSON 5 WRITING EQUATIONS PRACTICE

- Author:
- Rachel Turner, Tim Brzezinski, Darin Gundy

- Topic:
- Equations

The value of Julia’s car decreases at a rate of $175 per year. After three years, her car is worth $1,850. Write a linear function to model the scenario. 𝑥 = time in years 𝑓(𝑥)= value $ A given point is (3, 1850) What is the slope?

What is the point-slope form for the scenario above?

The value of Julia’s car decreases at a rate of $175 per year. After three years, her car is worth $1,850. The function 𝑓(𝑥)=−175𝑥+2,375 is a model of the car’s value over time. If the function 𝑔(𝑥)=−125𝑥+2,200 is a model of another car’s value over time, which car is worth more after 2 years?

## USING A LINEAR MODEL

Renting roller blades costs a flat fee plus an additional charge per hour. It costs $15.50 to rent rollerblades for 2 hours. Renting the skates for 7 hours costs $28. Write a linear function to model the scenario.

Using your model to find the cost of renting rollerblades for 5 hours.