A truck can be rented from company a for $70 a day plus $0.70 per mile. Company be charges $40 a day plus $0.80 per mile to rent the same truck. Find the number of miles in a day at which the rent cost of company A and Company B are the same.
To find the number of miles in a day at which the rent cost of Company A and Company B are the same, we need to set up an equation. Let's call the number of miles 'x'.
The rent cost for Company A can be expressed as:
Cost_A = 70 (base rate) + 0.70 (cost per mile) * x
The rent cost for Company B can be expressed as:
Cost_B = 40 (base rate) + 0.80 (cost per mile) * x
We need to find the value of 'x' when Cost_A is equal to Cost_B.
Setting up the equation:
70 + 0.70x = 40 + 0.80x
Now, let's solve for 'x'.
First, subtract 0.70x and 0.80x from both sides of the equation:
70 - 40 = 0.80x - 0.70x
Simplifying further:
30 = 0.10x
To isolate 'x', divide both sides of the equation by 0.10:
30 / 0.10 = x
Therefore, the number of miles at which the rent cost of Company A and Company B are equal is:
x = 300 miles
So, when renting the truck for a day and driving exactly 300 miles, both companies will charge the same rent cost.
find x so that
70 + 0.70x = 40 + 0.80x