Question

Use the following situation for questions #1-10.

Answer 1

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