Based on the given information, Keiko would need to drive 350 miles for the two plans to cost the same. E
How to find the number of miles Keiko would need to drive
To find the number of miles Keiko would need to drive for the two plans to cost the same, set up an equation based on the given information.
Let's assume the number of miles driven is represented by "m". The total cost for the first plan can be calculated as follows:
Cost of the first plan = Initial fee + (Cost per mile * Number of miles)
Cost of the first plan = $59.98 + ($0.14 * m)
Similarly, the total cost for the second plan can be calculated as:
Cost of the second plan = Initial fee + (Cost per mile * Number of miles)
Cost of the second plan = $73.98 + ($0.10 * m)
Now, find the number of miles where the costs for both plans are equal. So we set up the equation:
$59.98 + ($0.14 * m) = $73.98 + ($0.10 * m)
Simplifying the equation:
$0.14 * m - $0.10 * m = $73.98 - $59.98
$0.04 * m = $14
Dividing both sides by $0.04:
m = $14 / $0.04
m = 350
Therefore, Keiko would need to drive 350 miles for the two plans to cost the same.
Keiko will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $59.98 and costs an additional $0.14 per mile driven. The second plan has an initial fee of $73.98 and costs an additional $0.10 per mile driven. How many miles would Keiko need to drive for the two plans to cost the same?
the same?
A) 288 miles
B) 320 miles
C) 362 miles
D) 400 miles
E) None of the above