Answer:
Answer: it would take 200 miles before the two plans cost the same.
Step-by-step explanation:
Let x represent the number of miles that Linda drives with either the first plan or the second plan.
Let y represent the total number of miles that she drives with the first plan
Let z represent the total number of miles that she drives with the second plan.
The first plan has an initial fee of $47.96 and costs an additional $0.16 per mile driven. This means that the total amount for x miles would be
y = 0.16x + 47.96
The second plan has an initial fee of $55.96 and costs an additional $0.12 per mile driven. This means that the total amount for x hours would be
z = 0.12x + 55.96
To determine the number of miles before the amount for both plans becomes the same, we would equate y to z. It becomes
0.16x + 47.96 = 0.12x + 55.96
0.16x - 0.12x = 55.96 - 47.96
0.04x = 8
x = 8/0.04 = 200
