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Inessa [10]
3 years ago
11

A truck can be rented from Company A for ​$100 a day plus ​$0.20 per mile. Company B charges ​$60 a day plus ​$0.70 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.
Mathematics
1 answer:
denis23 [38]3 years ago
4 0

Answer:

Step-by-step explanation:

First, we write the rental cost with each company:

Company A Pa = 100 + 0.2*m

Company B Pb = 60 + 0.7*m

Where m: miles travelled

Now, we need to find "number of miles in a day at which the rental costs for Company A and Company B are the same". This means Pa = Pb. Then:

100 + 0.2*m = 60 + 0.7*m

Solving the equation for m by taking 0.2m and 60 on both sides:

100 + 0.2*m - 0.2*m - 60 = 60 + 0.7*m - 0.2*m - 60

40 = 0.5*m

Finally, dividing 0.5 on both sides:

m = 80

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