1) It clearly says, “let y represent cost and x represent the number of dolls”.

I am really not sure what kind of rule your teacher wants you to write. But from what I learned in school, the linear equation is usually setup with the formula of y=mx+b y values are dependent while the x values are independent. In this case, the problem says to “let y represent cost and x represent the number of dolls. So all you gotta do is to plug in those values given to you in the problem. y=5x+150. To me, it’s all logic. *(The total cost)=(fabric cost for each doll) x (the number of dolls) + (the set up costs).

2) Okay, so this question is related to the first question. All you gotta do to plug in those numbers into x of the equation I gave you above. Make a table. So if x equals 0, 10, 20, and 50, what would your y e equaled to? I’ll do the first one for you. Y=5(0)+150=150. So Y equals 150 when x is equaled to 0. (don’t tell me you don’t know how to graph!) so then you graph (0, 150)-go over to the right 0 and go up 150 and then make a dot. So on and so forth. do that for the other 3 numbers and you see some kind of increasing pattern. Don’t forget to describe the pattern and label your graph.

3) y=10x income=($10) x (number of dolls)

4) plug in numbers for x to get y. don’t forget to graph and label.

5) Brandi has a profit when the income line on the graph is higher than the cost line. Or when the x values are the same, but the y value of the income is greater than the y value of the cost.

6) this question is similar to the 5th on, except it’s the other way around. Brandi has a loss when the income line on the graph is lower than the cost line. Or when the x values are the same, but the y value of the income is less than the y value of the cost.

7) ummmm…according to my previous explanations and the graph you have supposedly now drawn, what do you think? It’s easy-analyze!

8) refer to your graph or calculate-plug in 40 for x and do the math.

9) again, refer to the graph you have drawn, where do the lines intersect?

Good luck! I hope this in-depth explanation helps.

If x= number of dolls

If y= cost of each ($5 fabric)

Then y=5x

Part 2

Your slope is positive.

Part 3

x= # of dolls y= income $10 per each sold

y=10x

The rest is too easy for me to continue, but it should jump start you. You’ll need to sell 15 to recover the cost of the machine. You start getting a profit if you sold doll number 16.

If y is the cost of the dolls then your function should look like this:

y=Initial cost of start up + cost per doll

y=150+5x

Part of student responsibility is to ask questions of the instructor when they don’t understand.

You teacher may not realize that this is confusing to you and it will give the opportunity to communicate better for both of you.