Amanda will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $75 and costs an additional $0.40 per mile driven. The second plan has no initial fee but costs $0.60 per mile driven. How many miles would Amanda need to drive for the two plans to cost the same?
375miles
Solve for x to get the milage required:
75+0.4x = 0.6x
and your answer is correct.
To find the number of miles Amanda would need to drive for the two plans to cost the same, we need to set up an equation to represent the total cost for each plan.
Let's assume that Amanda would need to drive 'x' miles for the two plans to cost the same.
For the first plan, the total cost can be represented as:
Total Cost of Plan 1 = $75 (initial fee) + $0.40 (cost per mile) * x (number of miles driven)
For the second plan, the total cost can be represented as:
Total Cost of Plan 2 = $0 (initial fee) + $0.60 (cost per mile) * x (number of miles driven)
Since we want the two plans to cost the same, we can set up the equation:
$75 + $0.40x = $0 + $0.60x
Now, let's solve the equation to find the value of 'x':
$75 + $0.40x = $0 + $0.60x
Subtract $0.40x from both sides of the equation:
$75 = $0.60x - $0.40x
Combine like terms on the right side:
$75 = $0.20x
Divide both sides of the equation by $0.20:
$75 / $0.20 = x
x = 375
Therefore, Amanda would need to drive 375 miles for the two plans to cost the same.