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Question
As a salesperson, you are paid $100 per week plus $3 per sale. This week you want your pay to be at least $160. Write and solve an inequality for the number of sales you need to make.
Responses
A 100 - 3s ≤ 160; s ≤ 20100 - 3s ≤ 160; s ≤ 20
B 100 + 3s ≥ 160; s ≥ 18100 + 3s ≥ 160; s ≥ 18
C 100 - 3s ≤ 160; s ≤ 18100 - 3s ≤ 160; s ≤ 18
D 100 + 3s ≥ 160; s ≥ 20
To write and solve an inequality for the number of sales needed, we can use the following equation:
$100 + $3s ≥ $160
Explanation:
- $100 represents the base weekly pay a salesperson receives.
- $3 represents the additional pay per sale.
- s represents the number of sales made.
To solve this inequality, we need to isolate s.
First, subtract $100 from both sides:
$3s ≥ $60
Then, divide both sides of the inequality by $3:
s ≥ 20
Therefore, the correct answer is D: 100 + 3s ≥ 160; s ≥ 20.