Kevin is saving for a new bike.

- He has already saved [tex]$\$65$[/tex].
- He makes [tex]$\$15$[/tex] for each lawn that he mows.
- The bike that Kevin wants to buy costs [tex]$\$175$[/tex].

Which inequality could be used to find [tex]$x$[/tex], the number of lawns Kevin needs to mow to earn enough money to buy the bike he wants?

A. [tex]$175 \leq 15 + 65x$[/tex]

B. [tex]$175 \leq 80x$[/tex]

C. [tex]$175 \leq 65 + 15x$[/tex]

D. [tex]$175 \leq 15x - 65$[/tex]

Let's solve the problem step by step to find an inequality that represents the number of lawns Kevin needs to mow.

1. Identify the known values:
- Kevin has already saved [tex]$65.
- He earns $[/tex]15 for each lawn he mows.
- The bike costs [tex]$175.

2. Define the variable:
- Let $ x $ be the number of lawns Kevin needs to mow.

3. Set up an equation to determine Kevin's total savings:
- The money Kevin will have after mowing $ x $ lawns is the sum of his current savings and the money he earns from mowing lawns.
- Therefore, the expression for the total money Kevin will have is:
\[
65 + 15x
\]
Here, $ 65 $ is the amount he has already saved, and $ 15x $ is the money he earns from mowing $ x $ lawns.

4. Set up the inequality:
- Kevin needs at least $[/tex]175 to buy the bike. Therefore, the expression for his total savings should be greater than or equal to $175.
- This can be written as:
[tex]\[
65 + 15x \geq 175
\][/tex]

5. Choosing the correct inequality from the options:

From the options provided, the correct inequality is:
[tex]\[
175 \leq 65 + 15x
\][/tex]

This inequality shows the condition under which Kevin has saved enough money to buy the bike.