Question

Consuela is planning her 7-day vacation. She has budgeted $250 to rent a moped for the week. The rental company charges $10 a day plus 30 cents per mile. Write and solve a first degree inequality to determine the number of miles (m) consuela can drive and still stay within her budget.

Answer 1

The equation is
`0.3x\leq 180` and consuela can drive maximum 600 miles.

Explanation:

Given:

Consuela Budget=
`\$250`

Rental Company Charges =
`\$10 \ per\ day`

Additional Cost = 30 cents per mile = $0.3 per miles.

Number of days for vacation = 7

We need to find the number of miles Consuela can drive and still be in budget.

Let number of miles she can drive be
`x`

Rental Company Charges for per day
`*` number of days + Additional Cost per mile
`*` Number of miles she can drive sholud be less than or equal to Consuela Budget

Now the equation will be.

`10* 70 +0.3x \leq 250\\70 +0.3 x\leq 250\\0.3x\leq 250-70\\0.3x\leq 180\\x\leq (180)/(0.3)\\\\x\leq 600 \ miles`

Hence Consuela can drive maximum of 600 miles to stay within her budget.