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.

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.

To find the equation for your pay as a function of the hours worked, you are correct in using variables. Let's use "y" for the pay, "x" for the hours worked, and "z" to represent the equation.

Since your job pays $9.10 per hour, your pay is directly proportional to the number of hours worked. Therefore, the equation for your pay can be written as:
y = 9.10x

To find the inverse equation, we need to interchange the variables "x" and "y" and solve for "x". Here's how you can do it:

1. Start with the equation:
y = 9.10x

2. Swap "x" and "y":
x = 9.10y

3. Solve the equation for "y" to find the inverse equation:
y = x/9.10

The inverse equation represents the number of hours you need to work in order to afford the car.

Next, we need to calculate the number of hours required to earn enough money to afford the car. Let's assume you need a total of $300 per month. We can set up an equation with "y" representing your pay and solve for "x" (the hours worked):

300 = 9.10x

To find "x," divide both sides of the equation by 9.10:
x = 300 / 9.10

Calculating the right side:
x ≈ 32.97

Rounding up to the nearest hour, you would need to work approximately 33 hours to afford the car.

So, to summarize, the equation for your pay as a function of the hours worked is y = 9.10x. The inverse equation is y = x/9.10. And you would need to work around 33 hours to earn enough money to afford the car.