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anonymous

  • one year ago

Part A: Maria rented a coat at $285 for 3 days. If she rents the same coat for 6 days, she has to pay a total rent of $510. Write an equation in the standard form to represent the total rent (y) that Maria has to pay for renting the coat for x days. Part B: write the equation obtained in part A using function notation. Part C: describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals.

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  1. anonymous
    • one year ago
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    Can any one help me

  2. mathstudent55
    • one year ago
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    She paid $285 for 3 days and she paid $510 for 6 days. They want the number of days to be x and the cost to be y. That means we have two ordered pairs: (3, 285) (6, 510) You need to write the equation of the line that passes through those two points.

  3. mathstudent55
    • one year ago
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    Do you know how to find the equation of a line when you are given two points on the line?

  4. anonymous
    • one year ago
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    Do I have to do slope formula

  5. anonymous
    • one year ago
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    @mathstudent55

  6. mathstudent55
    • one year ago
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    Correct. You need to find the slope of the line using the two given points. Can you do that?

  7. anonymous
    • one year ago
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    Yea I got 75 @mathstudent55

  8. anonymous
    • one year ago
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    As my slope

  9. mathstudent55
    • one year ago
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    Correct. Here is the equation of a line given 2 points. The fraction is the slope, so you can put the slope there. \(\Large y - y_1 = \dfrac{y_2 - y_1}{x_2 - x_1}(x - x_1)\) \(\Large y - y_1 = \dfrac{510 - 285}{6 - 3}(x - x_1)\) \(\Large y - y_1 = 75(x - x_1)\) Now just choose one of the points and replace \((x_1, y_1)\) in the formula with the coordinates of the point you chose.

  10. anonymous
    • one year ago
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    What do you mean when you say replace ( X1, Y1) in the formula with coordinates

  11. anonymous
    • one year ago
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    @mathstudent55

  12. mathstudent55
    • one year ago
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    \(\Large y - \color{green}{y_1} = 75(x - \color{red}{x_1})\) Use point \((\color{red}{x_1}, \color{green}{y_1})\) such as \((\color{red}{3}, \color{green}{285} )\) \(\Large y - \color{green}{285} = 75(x - \color{red}{3})\) Now just simplify the expression.

  13. anonymous
    • one year ago
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    Ok wait @mathstudent55

  14. mathstudent55
    • one year ago
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    ok

  15. anonymous
    • one year ago
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    I got y= 75x + 60

  16. anonymous
    • one year ago
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    @mathstudent55

  17. mathstudent55
    • one year ago
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    \(\Large y - 285 = 75(x - 3)\) \(\Large y - 285 = 75x - 225\) \(\Large 75x - y + 60 = 0\) Your equation is correct. Whether your answer is correct or incorrect depends on what your problem interprets "standard form" as.

  18. mathstudent55
    • one year ago
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    For part B you need function notation. That simply means solve for y, which you already did. Then replace \(y\) with \(f(x) \).

  19. anonymous
    • one year ago
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    Ok and what about C

  20. mathstudent55
    • one year ago
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    For part C, think of graphing the equation using the slope-intercept form: y = 75x + 60 Do you know how to graph an equation directly from the slope-intercept form without finding ordered pairs?

  21. anonymous
    • one year ago
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    No

  22. mathstudent55
    • one year ago
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    |dw:1439496411311:dw|

  23. mathstudent55
    • one year ago
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    |dw:1439496512385:dw|

  24. anonymous
    • one year ago
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    What about the x

  25. mathstudent55
    • one year ago
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    |dw:1439496561622:dw|

  26. mathstudent55
    • one year ago
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    Now |dw:1439496743456:dw|that we have 2 points, we draw a line through them.

  27. mathstudent55
    • one year ago
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    To do part C, you need to explain how to graph. You can use use the method I used above.

  28. anonymous
    • one year ago
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    Ok thank you

  29. mathstudent55
    • one year ago
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    Part C. Set up a graph with units for x, 1, 2, 3, 4, etc. For y, make each mark 50 units since the numbers are large in y. Now plot the y-intercept on the y-axis. It is 60. Then use the slope to find at least one more point. Connect the points with the line and extend it.

  30. mathstudent55
    • one year ago
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    |dw:1439496985892:dw|

  31. mathstudent55
    • one year ago
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    You're welcome.

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