a car can be rented for $50 per week plus $0.25 per mile. how many miles can be driven if you have at most…

a car can be rented for $50 per week plus $0.25 per mile. how many miles can be driven if you have at most $300 to spend for weekly transportation? you can drive at most miles a week

a car can be rented for $50 per week plus $0.25 per mile. how many miles can be driven if you have at most $300 to spend for weekly transportation? you can drive at most miles a week

Answer

Explanation:

Step1: Set up an inequality

Let $x$ be the number of miles driven. The total cost is the sum of the weekly - base cost and the cost per mile. The base cost is $50$ and the cost per mile is $0.25x$. We have at most $300$ to spend, so the inequality is $50 + 0.25x\leqslant300$.

Step2: Isolate the variable term

Subtract $50$ from both sides of the inequality: $0.25x\leqslant300 - 50$. So, $0.25x\leqslant250$.

Step3: Solve for $x$

Divide both sides of the inequality by $0.25$: $x\leqslant\frac{250}{0.25}$. Since $\frac{250}{0.25}=\frac{250}{\frac{1}{4}}=250\times4 = 1000$.

Answer:

1000