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. {please help me}

Answer 1

85 + z <= x <= 255 + z

Explanation:

An inequality system will be given by a lower limit and an upper limit, therefore it is only necessary to raise an equation for each case, h being the hours worked and z the extra money you can earn by delivering the pizzas:

For the lower limit:

8.5 * h + z, knowing that in this case it is 10 hours.

85 + z would be the lower limit value

For the upper limit:

8.5 * h + z, knowing that in this case it is 30 hours.

225 + z would be the upper limit value

Therefore the inequality system would be as follows, let x be the money earned:

85 + z <= x <= 255 + z

Which means that the money earned will be determined by the previous inequality.