anonymous
  • anonymous
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.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
Can any one help me
mathstudent55
  • mathstudent55
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.
mathstudent55
  • mathstudent55
Do you know how to find the equation of a line when you are given two points on the line?

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More answers

anonymous
  • anonymous
Do I have to do slope formula
anonymous
  • anonymous
@mathstudent55
mathstudent55
  • mathstudent55
Correct. You need to find the slope of the line using the two given points. Can you do that?
anonymous
  • anonymous
Yea I got 75 @mathstudent55
anonymous
  • anonymous
As my slope
mathstudent55
  • mathstudent55
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.
anonymous
  • anonymous
What do you mean when you say replace ( X1, Y1) in the formula with coordinates
anonymous
  • anonymous
@mathstudent55
mathstudent55
  • mathstudent55
\(\Large y - \color{green}{y_1} = 75(x - \color{red}{x_1})\) 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.
anonymous
  • anonymous
Ok wait @mathstudent55
mathstudent55
  • mathstudent55
ok
anonymous
  • anonymous
I got y= 75x + 60
anonymous
  • anonymous
@mathstudent55
mathstudent55
  • mathstudent55
\(\Large y - 285 = 75(x - 3)\) \(\Large y - 285 = 75x - 225\) \(\Large 75x - y + 60 = 0\) Your equation is correct. Whether your answer is correct or incorrect depends on what your problem interprets "standard form" as.
mathstudent55
  • mathstudent55
For part B you need function notation. That simply means solve for y, which you already did. Then replace \(y\) with \(f(x) \).
anonymous
  • anonymous
Ok and what about C
mathstudent55
  • mathstudent55
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?
anonymous
  • anonymous
No
mathstudent55
  • mathstudent55
|dw:1439496411311:dw|
mathstudent55
  • mathstudent55
|dw:1439496512385:dw|
anonymous
  • anonymous
What about the x
mathstudent55
  • mathstudent55
|dw:1439496561622:dw|
mathstudent55
  • mathstudent55
Now |dw:1439496743456:dw|that we have 2 points, we draw a line through them.
mathstudent55
  • mathstudent55
To do part C, you need to explain how to graph. You can use use the method I used above.
anonymous
  • anonymous
Ok thank you
mathstudent55
  • mathstudent55
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.
mathstudent55
  • mathstudent55
|dw:1439496985892:dw|
mathstudent55
  • mathstudent55
You're welcome.

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