These inequalities describe the conditions Leah needs to meet to earn at least $120 per month while not exceeding a total of 20 hours of work.
Let's set up an equation to represent Leah's earnings based on the given information.
Leah earns $5 per hour babysitting, so the earnings from babysitting (in dollars) would be 5x.
She also earns $8 per hour working at the ice cream shop, so the earnings from the ice cream shop (in dollars) would be 8y.
Leah's total monthly earnings must be at least $120, so we can write the inequality:
5x+8y≥120
Leah cannot work more than a total of 20 hours per month, so the total number of hours worked (x+y) must be less than or equal to 20:
x+y≤20
So, the system of inequalities to represent Leah's situation is:
5x+8y≥120
x+y≤20
These inequalities describe the conditions Leah needs to meet to earn at least $120 per month while not exceeding a total of 20 hours of work.