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=9.1x
inverse: x=9.1y
To write the equation for your pay as a function of the hours worked, you can start by considering that your pay is based on your hourly rate of $9.10 and the number of hours worked. Let's denote the hours worked as 'x' and the pay as 'y'.
Thus, the equation for your pay can be written as:
y = 9.10x
To find the inverse equation, we need to switch the roles of 'x' and 'y' in the equation. This means swapping the positions of 'x' and 'y' and solving for 'y'.
So, starting with the original equation:
y = 9.10x
We can replace 'y' with 'x' and 'x' with 'y':
x = 9.10y
Now, solve this equation for 'y' to find the inverse equation:
y = x/9.10
The inverse equation is:
y = x/9.10
To calculate the number of hours you must work to earn enough money to afford the car, you need to consider that the cost of the car per month is $300 and this amount needs to be covered by your pay.
Since the equation for your pay is:
y = 9.10x
We can set 'y' as $300 and solve for 'x':
300 = 9.10x
Divide both sides of the equation by 9.10 to isolate 'x':
x = 300/9.10
Using a calculator, you can find that:
x ≈ 32.97
Therefore, you would need to work approximately 33 hours to earn enough money to afford the car.