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.
300 = $9.10x
x = 32.97 rounded to 33 hours out of approximately 40 * 4 = 160 hours worked per month.
To write an equation for your pay as a function of the hours worked, let's start by defining some variables to represent the given information:
x = hours worked
y = pay earned
Since your job pays $9.10 per hour, the equation for your pay would be:
y = 9.10x
Now, to find the inverse equation, we need to solve this equation for x in terms of y. Let's rearrange the equation:
y = 9.10x
Divide both sides of the equation by 9.10:
y/9.10 = x
The inverse equation is:
x = y/9.10
Now, you want to figure out the number of hours you must work to earn enough money to afford the car. You estimated that it would cost you $300 per month to buy and maintain the car.
Let's substitute this value into our inverse equation:
x = y/9.10
300 = y/9.10
To solve for y, multiply both sides of the equation by 9.10:
300 * 9.10 = y
2730 = y
Therefore, you must earn $2730 to afford the car. Now, let's substitute this value back into the original equation to find the number of hours worked:
y = 9.10x
2730 = 9.10x
Solving for x:
x = 2730 / 9.10
x ≈ 300
So, you would need to work approximately 300 hours to earn enough money to afford the car.