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Mathhelp346 Group Title

PLEASE HELP: Trevor is a salesperson who earns a weekly salary and a commission that is 7% of his weekly sales. In one week Trevor's sales were $952.00 and his weekly income was $466.64. In another week his sales were $2515.00 and his weekly income was $576.05. a. Write a linear equation in slope-intercept form for Trevor's weekly income, y, in terms of his weekly sales, x. b. What is Trevor's weekly salary?

  • one year ago
  • one year ago

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  1. tcarroll010 Group Title
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    Still there?

    • one year ago
  2. Mathhelp346 Group Title
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    yea

    • one year ago
  3. tcarroll010 Group Title
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    ok, we can do this (me AND you).

    • one year ago
  4. Mathhelp346 Group Title
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    ok

    • one year ago
  5. tcarroll010 Group Title
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    This is just a problem in getting a line from 2 points. y = mx + b. Y will be income. b will be his weekly salary. x will be sales. weekly salary will a constant.

    • one year ago
  6. Mathhelp346 Group Title
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    ok will there be two equations?

    • one year ago
  7. tcarroll010 Group Title
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    You are given 2 values for y and 2 values for x. You can then use (y2 - y1)/(x2 - x1) = m. You can get m from the % of sales commission. Only one equation constructed from the 2 points.

    • one year ago
  8. Mathhelp346 Group Title
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    so do i get multiply the weekly sales by .07 first?

    • one year ago
  9. Mathhelp346 Group Title
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    then i do y2-y1/x2-x1

    • one year ago
  10. tcarroll010 Group Title
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    You multiply mx by x to get the commission in $.

    • one year ago
  11. Mathhelp346 Group Title
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    but i need the coordinates to do y2-y1/x2-x1

    • one year ago
  12. tcarroll010 Group Title
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    You might want to start with figuring out his base salary. That part will be very easy because you only need one point for that since so much info is given in the problem statement. Use y - mx = b. Use either point, and you will get the rsame correct answer. I worked it out both ways and the answer is the same.

    • one year ago
  13. Mathhelp346 Group Title
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    y-mx=b?

    • one year ago
  14. tcarroll010 Group Title
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    You were given the coordinates. If you read my posts and ascribe the corresponding x's and y's, you will have your coordinates. As i said we are BOTH doing the problem. I do not hand out answers. I give strong hints and set up the problem for people.

    • one year ago
  15. Mathhelp346 Group Title
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    so so the coordinates would be (952,466.64) (2515, 576.05)? but do you multiply the weekly sales(952,2515) by .07 first to get his commission?

    • one year ago
  16. Mathhelp346 Group Title
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    would x be the weekly sales or his commission

    • one year ago
  17. tcarroll010 Group Title
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    You're doing well. You have now identified the coordinates and that is very good. You would multiply m by x (commission rate by sales) to get the commission. They already gave you the y (total income for the week), so you just have to subtract mx from y to get b or the base salary. You can use either point, they both give the same answer.

    • one year ago
  18. tcarroll010 Group Title
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    I have already identified x for you. If you still have a question on that, go back and read my posts.

    • one year ago
  19. Mathhelp346 Group Title
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    ok so i find the slope and then substitute it into y=mx+b to get the salary?

    • one year ago
  20. tcarroll010 Group Title
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    I'm going to answer your questions by asking you questions. What is y?

    • one year ago
  21. Mathhelp346 Group Title
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    total income for the week

    • one year ago
  22. tcarroll010 Group Title
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    good. What makes up the total income for the week (in words and variables)?

    • one year ago
  23. Mathhelp346 Group Title
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    b(weekly sales)

    • one year ago
  24. Mathhelp346 Group Title
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    x(sales)

    • one year ago
  25. Mathhelp346 Group Title
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    b is weekly salary

    • one year ago
  26. tcarroll010 Group Title
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    You're close. You're right about x being sales, but you're off on b. b is his salary. Salary + sales commission (sales x commission rate or x multiplied by m) = income = y. With that info, you are 90% done.

    • one year ago
  27. Mathhelp346 Group Title
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    so if i solve 466.64=.07(952)+b i will get the salary?

    • one year ago
  28. Mathhelp346 Group Title
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    but wouldnt i have 2 equations since i can sub in either one? which one do i use?

    • one year ago
  29. tcarroll010 Group Title
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    yes. If you used the other point, you would still get the same salary also. You can use either point.

    • one year ago
  30. Mathhelp346 Group Title
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    so do i write down both equations?

    • one year ago
  31. tcarroll010 Group Title
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    They are just 2 points on the same line. You don't even need the second point to do this problem. It's there for 2 reasons. 1) to give a person practice digging out of a word problem only that which is essential (sufficient and necessary) to do the problem. And 2) so you can confirm your answer (equation and value for salary) with the second point, which again, isn't that important. You would need the second point if you were not given the value for m, sales commission.

    • one year ago
  32. Mathhelp346 Group Title
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    ok

    • one year ago
  33. tcarroll010 Group Title
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    Last time. One equation. I cannot help you any further. Now, 98% of the work is done.

    • one year ago
  34. Mathhelp346 Group Title
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    ok thanks

    • one year ago
  35. tcarroll010 Group Title
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    good luck.

    • one year ago
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