Homework #14: Interpreting the rate of change and the initial value. 1. A laundry charges customers $3 for the first wash and $2.50 for any additional wash while using their card. The linear function y = 3 + 2.50x can be used to represent the total daily cost in dollars for any number of washes.
a) Explain the meaning of 3 in the linear function.
b) Explain the meaning of 2.50 in the linear function.
2. A rental car company charges a fee for booking the card and then an additional fee per mile driven. The equation y = 0.30x + 10 is used to describe this problem.
a) Explain the meaning of 0.30 in the linear function. b) Explain the meaning of 10 in the linear function.
3. A pizza shop charges a cost for a plain slice of pizza and an additional charge for each additional topping. The linear function y = 2.50 + 0.75x is used to calculate the total cost of one slice of pizza.
a) Explain the meaning of 2.50 in the linear function. b) Explain the meaning of 0.75 in the linear function.
4. A car oil’s life decreases depending on the number of miles the car is driven. If the oil is replaced the car’s number of miles can be determined using the linear function y = 5000 - 0.40m.
a) Explain the meaning of 5,000 in the linear function. b) Explain the meaning of -0.40 in the linear function.
5. You mother gave you some money on Monday and she expects it will last you the whole week. You usually spend the same amount every week. The linear function y = -3.50x + 25 is used to model the amount of money you have left.
a) Explain the meaning of -3.50 in the linear function. b) Explain the meaning of 25 in the linear function.