Question

Please help so i can go to bed i’m exhausted

Answer 1

There is a fixed cost of renting and variable cost per hour.

Let fixed cost be "x" and variable costs be "y".

Saturday Cost:

x + 3y = 435

Sunday Cost:

x + 5y = 625

To find x and y, we can solve the 2 equations simultaneously. Let's multiply first equation by "-1" and add up. Shown below:

`\begin{gathered} -x-3y=-435 \\ x+5y=625 \\ ---------- \\ 2y=190 \\ y=(190)/(2) \\ y=95 \end{gathered}`

Putting this value of y into equation 2 [or equation 1 would be fine as well], we solve for x:

`\begin{gathered} x+5y=625 \\ x+5(95)=625 \\ x+475=625 \\ x=625-475 \\ x=150 \end{gathered}`

So,

fixed cost = 150 dollars

variable cost (per hour cost) = 95 dollars

Now,

Monday, he rented for 2 hours, so the cost would be:

Monday Cost:

fixed + variable (for 2 hrs)

150 + 2(95) = 340 dollars

Total Cost of Renting (for 3 days):

435 + 625 + 340 = $1400