Cody wants to go on his senior class trip. He finds a job that pays $7 per hour and he also mows lawns for $9 an hour. He needs to earn $693 to pay for the trip, excluding spending money.

Question

1. Write an inequality describing Cody's goal in terms of hours at his job, x, and hours mowing lawns, y.

2. Graph the inequality. (Scale: 1 box = 11 hrs.)

I know that you can't graph the inequality for me, but if you could maybe walk me through how to do it, or give me a link, I'd really appreciate it.

Steve · Answer

7x + 9y >= 693

Just graph the line

7x+9y = 693

Now, any x or y value greater than what's on the line will satisfy the inequality, since then 7x+9y will be greater than 693.

Take a look here. The shaded area is all the values of x and y that cause 7x+97 to be at least 693.

http://www.wolframalpha.com/input/?i=solve+7x+%2B+9y+%3E%3D+693