Question

Your parents have decided to paint the house for the summer, and you are going to rent a cherry picker. One company will rent it to you for $250 plus $10 per hour. Another company will rent it to you for $100 plus $15 per hour. After how many hours will the cost be the same for either company?

a. 10 hours
b. 12 hours
c. 15 hours
d. 20 hours

Answer 1

The cost to rent a cherry picker will be the same from either company after 30 hours of rental.

Step-by-step explanation:

To find out after how many hours the rent cost of the cherry picker would be the same from either company, we need to set up an equation where both company's cost functions are equal and solve for the number of hours. Company A charges $250 plus $10 per hour and Company B charges $100 plus $15 per hour.

Let's denote the number of hours as h. Then we have the following equations for the total cost from each company:

• Company A: Cost = $250 + $10h
• Company B: Cost = $100 + $15h

Setting these two costs equal to each other gives us:

$250 + $10h = $100 + $15h

Now, we can solve for h:

1. Subtract $100 from both sides: $150 + $10h = $15h
2. Subtract $10h from both sides: $150 = $5h
3. Divide both sides by $5: $150 / $5 = h
4. Solve for h: h = 30

So, the cost will be the same after 30 hours.