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Aleksandr-060686 [28]
2 years ago
9

Sergio and Lizeth have a very tight vacation budget. They plan to rent a car from a company that charges $75 a week plus $0.25 a

mile. How many miles can they travel and still keep within their $200 budget?
Mathematics
1 answer:
nordsb [41]2 years ago
4 0

Answer: 500 miles

Step-by-step explanation:

Given : Sergio and Lizeth have planned to rent a car from a company that charges $75 a week plus $0.25 a mile.

i.e. Fixed charge= $75

Rate per mile = $0.25

Let x denotes the number of miles.

Then, Total charges = Fixed charge+ Rate per mile x No. of miles traveled

=  $75+ $0.25x

To keep budget within $200, we have following equation.

75+0.25x=200\\\\\Rightarrow\ 0.25=200-75\\\\\Rightarrow\ 0.25=125\\\\\Rightarrow\ x=\dfrac{125}{0.25}=\dfrac{12500}{25}=500

Hence, they can travel 500 miles and still keep within their $200 budget.

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The Smiths bought new furniture that cost $3,298.00. The store offered them
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