The value of Juliaโs 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.[br][br]๐ฅ = time in years ๐(๐ฅ)= value $[br][br]A given point is (3, 1850)[br][br]What is the slope?
What is the point-slope form for the scenario above?
[math]y-1850=-175\left(x-3\right)[/math]
The value of Juliaโs car decreases at a rate of $175 per year. After three years, her car is worth $1,850.[br][br]The function ๐(๐ฅ)=โ175๐ฅ+2,375 is a model of the carโs value over time.[br][br]If the function ๐(๐ฅ)=โ125๐ฅ+2,200 is a model of another carโs value over time, which car is worth more after 2 years?
[math]g\left(2\right)=-125\left(2\right)+2200=-250+220=1950[/math][br][math]f\left(2\right)=-175\left(2\right)+2375=-350+2375=2025[/math][br]We can say that[color=#ff0000] Julia's[/color] car is going to be worth more after 2 years than the other car.
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. [br][br]Write a linear function to model the scenario.
[math]f\left(x\right)=2.5x+10.5[/math]
Using your model to find the cost of renting rollerblades for 5 hours.
[math]f\left(5\right)=2.5\left(5\right)+10.5=12.5+10.5=23[/math][br]The cost of renting the rollerblades for 5 hours is $23