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.
Let's say the number of sales you need to make is represented by "s".
According to the information given, you are paid $3 per sale. Therefore, the total amount earned from sales is 3s.
Additionally, you are guaranteed a base pay of $100 per week.
To find the total pay, we add the base pay to the earnings from sales:
Total pay = Base pay + Earnings from sales
Total pay = $100 + $3s
Since you want your pay to be at least $160, we can set up the following inequality:
Total pay ≥ $160
$100 + $3s ≥ $160
Now we can solve this inequality for "s":
$3s ≥ $160 - $100
$3s ≥ $60
s ≥ $60 ÷ $3
s ≥ 20
Therefore, you need to make at least 20 sales to ensure your pay is at least $160.