Question

You work two jobs. You earn $14.64 per hour as a salesperson and $12.20 per hour stocking shelves. Your combined earnings this month are $219.60. Let x represent the number of hours worked stocking shelves and let y represent the number of hours worked in sales. Graph the equation that models this situation.

Answer 1

I'm assuming you have to graph a line that shows the combination of earnings.

Our equation is 14.64y + 12.20x = 219.60

We'll be solving for x and y. We'll need to substitute the variables, one at a time, to 0, in order to find their intercepts.

Let's do x first.

14.64(0) + 12.20x = 219.60

12.20x = 219.60

Divide by 12.20 on both sides.

x = 18

Now let's solve for y.

14.46y + 12.20(0) = 219.60

14.46y = 219.60

Divide both sides by 14.46.

y = 15.18

That is actually a long decmal, but since we're dealing with money, we round it down to the nearest cent.

So, now we know x = 18 and y = 15.18.

Graph those on the x coordinate plane and the y coordinate plane, and make a line connecting the two. That line represents all the solutions.