Answer: it would take 280 miles before Laura pays the same amount for both plans..
Step-by-step explanation:
Let x represent the number of miles that Laura drives using either the first plan or the second plan
Let y represent the total cost of x miles when using the first plan
Let y represent the total cost of x miles when using the second plan
The first plan has an initial fee of $55.98 and costs an additional $0.13 per mile driven. This means that the total cost of x miles would be
y = 0.13x + 55.98
The second plan has an initial fee of $69.98 and costs an additional $0.08 per mile driven.This means that the total cost of x miles would be
z = 0.08x + 69.98
To determine the number of miles that Laura would drive before the amount for both plans becomes the same, we would equate y to z. It becomes
0.13x + 55.98 = 0.08x + 69.98
0.13x - 0.08x = 69.98 - 55.98
0.05x = 14
x = 280
