Question

A salesperson earns $200 per week plus a commission equal to 4% of her sales. This week her goal is to earn no less than $450. Write and solve an inequality to find the amount of sales she must have to reach her goal.

Answer 1

An inequality to find the amount of sales she must have to reach her goal is
`200+0.04x\geq 450` and
`x\geq 6250`

Explanation:

Let x be the amount of sale of this week .

Now we are given that commission equal to 4% of her sales.

So, commission =
`4\% * x`

=
`(4)/(100)* x`

=
`0.04x`

Since we are given that A salesperson earns $200 per week plus a commission equal to 4% of her sales.

So, He earns in this week =
`200+0.04x`

Now we are given that This week her goal is to earn no less than $450.

So, equation becomes:
`200+0.04x\geq 450`

`200+0.04x\geq 450`

`0.04x\geq 250`

`x\geq (250)/(0.04)`

`x\geq 6250`

So, the total amount of sale must be greater than or equal to 6250

Hence an inequality to find the amount of sales she must have to reach her goal is
`200+0.04x\geq 450` and
`x\geq 6250`

Answer 2

based on the information given, the inequality of the amount of sales that she must have to reach her goal would be :
0.04 s + 200 ≥ 450

hope this helps