Question

Myra wants to save at least $500 by the end of her summer vacation. She currently has $350 saved. She can earn $25 cutting a lawn in her neighborhood. Myra solves an inequality to determine the least number of lawns, n, she must cut to reach her goal.?

Answer 1

6

Explanation:

Answer 2

since this is an inequality we need more than just the equal sign, but it can help to create a linear equation to get it. we only need to define one variable since they give us one, so what i will use is M=total money earned

M=350+25N

now simply replace your equation sign with the less than or equal to sign (
`\leq`) and the M with the 500 since Myra wants at least that.

500
`\leq`350+25N

now we must look for the least amount of times Myra needs to mow lawns, use the linear equation because exactly $500 is earned. this will be our M

500=350+25N

now take away 350 from each side so we can get N alone

150=25N

now divide each side to get N completely alone and that will give us the least amount of lawns Myra will need to mow to get to her goal

6=N, and since this was supposed to be an inequality replace the equal sign with the less than or equal to sign, 6
`\leq`N, or at least 6 lawns need to be mowed to get to Myra's goal