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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.
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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mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.0She 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
 one year ago
Best ResponseYou've already chosen the best response.0Do you know how to find the equation of a line when you are given two points on the line?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Do I have to do slope formula

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.0Correct. You need to find the slope of the line using the two given points. Can you do that?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yea I got 75 @mathstudent55

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.0Correct. 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
 one year ago
Best ResponseYou've already chosen the best response.0What do you mean when you say replace ( X1, Y1) in the formula with coordinates

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.0\(\Large y  \color{green}{y_1} = 75(x  \color{red}{x_1})\) 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
 one year ago
Best ResponseYou've already chosen the best response.0Ok wait @mathstudent55

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.0\(\Large y  285 = 75(x  3)\) \(\Large y  285 = 75x  225\) \(\Large 75x  y + 60 = 0\) Your equation is correct. Whether your answer is correct or incorrect depends on what your problem interprets "standard form" as.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.0For part B you need function notation. That simply means solve for y, which you already did. Then replace \(y\) with \(f(x) \).

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.0For part C, think of graphing the equation using the slopeintercept form: y = 75x + 60 Do you know how to graph an equation directly from the slopeintercept form without finding ordered pairs?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.0dw:1439496411311:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.0dw:1439496512385:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.0dw:1439496561622:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.0Now dw:1439496743456:dwthat we have 2 points, we draw a line through them.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.0To do part C, you need to explain how to graph. You can use use the method I used above.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.0Part 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 yintercept on the yaxis. It is 60. Then use the slope to find at least one more point. Connect the points with the line and extend it.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.0dw:1439496985892:dw
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