A truck can be rented from Company A for $150 a day plus $0.40 per mile. Company B charges $80 a day plus $0.90 per mile to rent 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:
Answer:
140 miles
Step-by-step explanation:
Let
Number of miles = m
Total cost = fixed cost + variable cost
Company A = $150 + $0.40m
Company B = $80 + $0.90m
Equate company A and company B equation
Company A = Company B
$150 + $0.40m = $80 + $0.90m
Collect like terms
150 - 80 = 0.90m - 0.40m
70 = 0.50m
m = 70 / 0.50
= 140
m = 140 miles
The number of miles in a day at which the rental costs for Company A and Company B are the same is 140 miles
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