Question

4. What inequality represents the amount of hours the student can work each month? Make a graph.

c + m> = 90

5. What inequality represents the amount that the student can earn each month? Make a graph.
10c + 8m> = 800

I just need the graphics, please help :(

Answer 1

View Image

Explanation:

4.

Solve for either of the variable. I solved for c because it looked easier.

Set c = 0 to solve for the x-intercept so that you can graph it. c is just your y-value in this case and m is your x-value.

I got m=90 which means it crosses the x-axis at 90. I also know it cross the y-axis at 90 because c = 90 - m is in the form of slope-intercept formula. The 90 in there is the y-intercept.

The sign is a > so it's a dotted line shaded above the graph.

5.

Same process as part 4. Set c=0 to find the x-intercept. I got m=100 which means it cross the x-axis at 100.

The y-intercept is in the equation itself c = 80 - 4/5m. The y-intercept is 80.

The sign is a ≥ so it's a solid line shaded above the graph.