Question

Joesfina works between 10 and 30 hours per week at a pizzeria. She earns $8.50 an hour, but can earn tips when she delivers pizzas. Write a system of inequalities to represent the dollars d she could earn for working h hours in a week.

Answer 1

Answer:

$d\geq 8.50h$ and $10\leq h\leq 30$.

Step-by-step explanation:

Let h represent number of hours and d represent dollars Joesfina can earn.

We have been given that Joesfina works between 10 and 30 hours per week at a pizzeria. This means that number of hours, h, will get greater than or equal to 10 and less than or equal to 30.

We can represent this information in an inequality as:

$10\leq h\leq 30$

We are also told that earns $8.50 an hour, but can earn tips when she delivers pizzas. This means that her weekly earning will be greater than or equal to 8.50 times the number of hours worked in one week.

We can represent this information in an inequality as:

$d\geq 8.50h$

Therefore, our required system of inequalities would be $d\geq 8.50h$ and $10\leq h\leq 30$.