Question

Justice earned $36 for mowing 3 lawns in his neighborhood. Write the equation that would represent this situation. Use x to represent the number of lawns mowed and y to represent the amount of money Justice earned.

Answer 1

To solve this problem, you need to set up the equations.

First, choose variables.

Let x = number of hours mowing lawns

Let y = number of hours working clothing store

Money from both jobs must be at least $350

(350 or more)

12x + 10y ≥ 350

Solve for y in order to graph

y ≥ -12/10x +35

Minimum of 10 hours at the store

y ≥ 10

No more than 35 hours a week

x + y ≤ 35

Solve for y to graph

y ≤ -x + 35

Making the graph: Number x and the y-axis from 0 to 35

First equation: y ≥ -12/10x + 35

y-intercept is 35

slope: a solid line starting at 35 on the y-axis, go down 12, over 10

The shade above solid line

Second equation:

y≥ 10

Make a solid horizontal line at y=10

The shade above the line for greater than.

Third equation:

y ≤ -x +35

Starting at y-intercept (0,35)

Solid line, Count slope down 1 and over 1

Shade underline

The overlapping area on the graph will look like a narrow triangle: above the horizontal line, under the line from the third equation, and above the line of the first equation.

The shaded area of the graph represents all the possible combinations of hours for mowing lawns and working in the clothing store that meets the requirements based on the pay and time.

Explanation:

hope this helps...