Elliot wants to buy a new BMX bike which costs $218. He plans to mow lawns this summer so that he can earn at least enough money to buy the bike. He will earn $20 for every lawn that he mows, and he has already made $40. Write an inequality that can he use to show the minimum amount of lawns he needs to mow, where x represents the number of lawns.

Question

(5 points)

Answer 1

To determine how many lawns Elliot needs to mow, we can start by expressing his total earnings in terms of \(x\), where \(x\) is the number of lawns he mows.

Elliot has already made $40, and he earns $20 for each lawn he mows. Therefore, his total earnings can be represented as:

\[ \text{Total earnings} = 40 + 20x \]

Since he wants to have at least enough money to buy the BMX bike, which costs $218, we can set up the following inequality:

\[ 40 + 20x \geq 218 \]

This inequality shows the minimum number of lawns he needs to mow in order to earn at least $218.