Ezra works two summer jobs to save for a laptop that costs at least $1100. he charges $15/hr to mow lawns and $10/hr to walk dogs. recall the inequality that represents this situation: 15x+10y> 110 . is (60, 20) a solution? how do you know? what does this point represent?

The first step is to ignore the inequality symbol first and replace it with '=' sign. Then, find the x- and y-intercepts.

15x + 10y = 1,100

x-intercept:

15x + 0 = 1,100

x = 1,100/15 = 73.33

y-intercept:

0 + 10y = 1,100

y = 1,100/10 = 110

Now, plot points (73.33,0) and (0,110). Since the equality symbol is ≥, which has an equal sign to it, connect the points using a solid line. 

Next, let's find a point on the graph. Suppose it is the origin at (0,0). Use this points to the equation.

15x + 10y ≥ 1,100

15(0) + 10(0) ? 1,100

0 ? 1,100

0 < 1,100

It makes the symbol ≥ false. Therefore, it means that the other region bounded by the line is the solution. So, you shade this area. The final graph is shown in the picture attached.

Yes. When you plug in the points (60,20) the equation is correct. 15(60)+10(20) ? 1100 = 900+200 ? 1100 = 1100 ? 1100. The points represent number of hours Ezra mowed lawns and walked dogs.

Step-by-step explanation:

The coordinate pair (60, 20) is a solution because it satisfies the inequality 15x + 10y greater than or equal to 1100

The coordinate pair (60, 20) is a solution because Ezra earns 60 x $15 = $900 mowing lawns and 20 x $10 = $200 walking dogs, for a total of $1100.

Ezra can spend 60 hours mowing lawns and 20 hours walking dogs to earn enough money for the laptop.