Question

You have decided to get a job to pay for a car to drive.
You estimate it will cost you $300 per month to buy and maintain the car.
You get a job that pays $9.10 per hour.

Write an equation for your pay as a function of the hours worked (Use x for the hours and y for the pay).

Then find the inverse equation and calculate the number of hours you must work to earn enough money to afford the car.


I think that from this I can write the equation z = y*x where I can replace the y with the pay rate of $9.10, so I think the equation should be z = 9.10x.

I have no clue if this is write and am thoroughly confused with the wording of this problem.

Answer 1

y = x*9.10

inverse of the function is x = y/9.10.

To calculate the no. of hours, replace y in the above equation with the money you need to afford the car.

i.e. x = y/9.10 = 300 / 9.10 = 32.96 = 33 hours.