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

Answer:

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

Step-by-step 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 $\times$ number of days + Additional Cost per mile $\times$ Number of miles she can drive sholud be less than or equal to Consuela Budget

Now the equation will be.

$10\times 70 +0.3x \leq 250\\70 +0.3 x\leq 250\\0.3x\leq 250-70\\0.3x\leq 180\\x\leq \frac{180}{0.3}\\\\x\leq 600 \ miles$

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