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

Answer:

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

Step-by-step 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 = $4\% \times x$

                         = $\frac{4}{100}\times x$

                         = $0.04x$

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: $200+0.04x\geq 450$

$200+0.04x\geq 450$

$0.04x\geq 250$

$x\geq \frac{250}{0.04}$

$x\geq 6250$

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