A truck can be rented from Company A form $130 a day plus $0.30 per mile. Company B charges $50 a day plus $0.80 per mile to r

Question

3 years ago

6

ent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.

1 answer:

navik [9.2K] · Answer 1 · 2022-12-17T00:17:17+03:00

Answer:

160 miles

Step-by-step explanation:

Company A form $130 a day plus $0.30 per mile

Company A = 130 + 0.30x

Company B charges $50 a day plus $0.80 per mile

Company B = 50 + 0.80x

Where,

x = number of miles

Equate the cost of company A and company B

130 + 0.30x = 50 + 0.80x

Collect like terms

130 - 50 = 0.80x - 0.30x

80 = 0.50x

Divide both sides by 0.50x

x = 80 / 0.50

= 160

x = 160 miles

The number of miles in a day at which the rental costs for Company A and Company B are the same is 160 miles

A truck can be rented from Company A form ​$130 a day plus $0.30 per mile. Company B charges ​$50 a day plus $0.80 per mile to r