Mathematics

# Part A. maria rented a coat at $285 for 3 days. if she rents the same coat for 6 days she has to pay$510. write an equation in 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 label on the axes and the intervals

#### Mackensie

3 years ago

Part A.

Let the number of days and the price paid be coordinate points, such that:

(3,285) and (6,510)

Given these, we can create the equation by using the straight-line equation which is: (y - y1) = m(x - x1)

Obtaining m = (510-285)/(6-3) = 75

Therefore, in standard equation:

y - 285 = 75(x - 3)
y - 285 = 75x - 225
y = 75x + 60

Part B.

Expressing the standard equation in function notation, simply change y to f(x). This is shown below:

y = 75x + 60
f(x) = 75x + 60

Part C.

Graphing the line y = 75x + 60:

Substitute values for x to find the values for y, then plot two points to obtain the graph. Substituting 0 and 1 as values for x:

For x = 0:
y = 75(0) + 60
y = 60

For x = 1:
y = 75(1) + 60
y = 135

x-axis would be the days rented, and y-axis would be the amount paid. Plot the two points (0,60) and (1,135) and you can obtain the graph.