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.
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
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 =@@MATH_TOKEN_5@@
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 \(x\geq 6250\)