Question

A car company charges $42.50 per day to rent a car in 10 since for every mile driven Lydia wants to rent a car knowing that she plans to drive 225 miles and she has at most a $150 to spend

Answer 1

Step-by-step explanation:

d: number of days.

m: number of miles.

The total cost of the car 'y' is:

`y=42.5d+0.1m`

Lydia plans to drive 225 miles, this is m = 225. And she has $150 to spend, so we have to solve y ≤ 150.

The inequality to solve is:

`\begin{gathered} y\le150 \\ 42.5d+0.1\cdot225\le150 \\ 42.5d+22.5\le150 \end{gathered}`

Solving the inequality:

`\begin{gathered} 42.5d+22.5\le150 \\ 42.5d\le150-22.5 \\ 42.5d\le127.5 \\ d\le(127.5)/(42.5) \\ d\le3 \end{gathered}`

Lydia can afford 3 days at most.

Answers:

• Inequality: ,42.5d + 22.5 ≤ 150

,

• d ≤ 3