Question

Write an equation for the situation then solve for x.

Answer 1

Hello!

The first thing we need to determine is: what exactly are we trying to find? Well, in this case, that would be the amount of hours Julio rented a bike for. We can set that number as a variable: x

We know that the rental total was 17 dollars. Therefore, we will set our equation equal to 17: (equation)=17

Next, we know that the rental costed 13 dollars upfront plus 2 dollars for every hour he rented it for. We can substitute “x” in for the amount of hours he rented it for, since that is what we are trying to find. We will multiply that by 2, since he has to pay 2 dollars for ever “x” hour he rents the bike. Add 13 dollars to that, since he has to pay that upfront: 2x+13=17

Now, let’s solve for x! Start by subtracting 13 from each to get the “2x” by itself:

2x=4

Now divide each side by 2 to get the value of x

X=2

Therefore, Julio rented the bike for 2 hours!

I hope this helped! Comment if you have any questions!