Mandi can be paid in one of two ways: Plan A-- A salary of $400 per month, plus a commission of 8% gross sales; or Plan B-- A salary of $610 per month, plus a commission of 5% of gross sales. For what amount of gross sales should Mandi select Plan A?

I have no idea how to write an inequality for this. It would help if you could give me the inequality for this and walk me through it a little.

Thank you!

let s be the amount of sales in $

Pay(planA) = 400 + .08s
Pay(planB) = 640 + .05s

This question is very similar to the one you just posted.
Solve the two right sides of the above equations.
That will tell you for what amount of sales the pay would be the same.
So above that value, one of the plans would be better, for below that value it would be the other.
I will let you decide which would be the better.

Thank you for your help!

To determine the amount of gross sales at which Mandi should select Plan A, we can set up an inequality.

Let's denote the gross sales as "x".

For Plan A, Mandi will receive a salary of $400 per month, plus a commission of 8% of gross sales. So, the total amount Mandi would earn with Plan A is:

$400 + 0.08x

For Plan B, Mandi will receive a salary of $610 per month, plus a commission of 5% of gross sales. So, the total amount Mandi would earn with Plan B is:

$610 + 0.05x

Since Mandi wants to select Plan A, we need to find the point at which Plan A becomes more lucrative compared to Plan B.

Therefore, we can set up the following inequality:

$400 + 0.08x > $610 + 0.05x

Now, let's solve the inequality:

0.08x - 0.05x > $610 - $400

0.03x > $210

Divide both sides of the inequality by 0.03 to isolate "x":

x > $210 / 0.03

x > $7,000

Therefore, Mandi should select Plan A if the gross sales exceed $7,000.

To summarize: the inequality for this problem is 0.08x - 0.05x > $210, and Mandi should select Plan A if the gross sales are greater than $7,000.