Answer:
We have the variables:
x = hours that she mows lawns per week.
y = hours that she babysits per week.
She earns $10 per hour mowing lawns and $8 per hour babysitting.
Then she earns a total of:
x*$10 + y*$8
We also know that she wants to earn at least $160 per week.
Then we have the inequality:
Total weekly earnings ≥ $160
This can be written as:
x*$10 + y*$8 ≥ $160
Now we want to find the x-intercept of the inequality.
The x-intercept is the possible y-values when x = 0 (the x-axis)
Then we just need to set x = 0 and find the possible solutions for y.
0*$10 + y*$8 ≥ $160
y ≥ $160/$8 = 20
y ≥ 20
The x-intercept of the inequality is the set of all the points (0, y) such that:
y ≥ 20
