Question

Gary is paid $15.50 per hour in addition to a weekly salary of $50. This week he wants to earn more than $400. Write an inequality to represent this situation. Use h as the variable.

Answer 1

Answer: $15.50h + $50 > 400

Explanation:

Weekly salary = $50

Additional pay = $15.50 per hour

The variable 'h' will be the number of hours worked.

To earn more than $400 this week:

$15.50h + $50 > $400

$15.50h > $400 - $50

$15.50h > $350

h > 350/15.50

h > 22.58

Answer 2

15.50h + 50 > 400

Explanation:

Given;

Weekly salary = $50 per week

Additional pay = $15.50 per hour

The variable h represent the number of hours worked per week

The total amount earn per week is;

Weekly salary + total additional pay per week

50 + 15.50h

To earn more than $400 this week, the total amount earned in a week must be greater than 400;

15.50h + 50 > 400

Solving the equation we have;

15.50h > 400-50

h > (400-50)/15.50

h > 22.58 hours per week.