Part A: Eveline rented a car at $180 for 4 days. If she rents the same car for 9 days, she has to pay a total rent of $325.

Write an equation in the standard form to represent the total rent (y) that Eveline has to pay for renting the car for x days. (4 points)

Part B: Write the equation obtained in Part A using function notation. (2 points)

Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals. (4 points)

Respuesta :

irspow
y=mx+b

m=(325-180)/(9-4)

m=145/5

m=29

y=29x+b, using point (4,180) we can solve for b

180=29(4)+b

180=116+b

64=b, so the line is:

y=29x+64

Now the standard form of a line is ax+by=c so:

-29x+y=64  (by convention the coefficient of x should be positive so)

29x-y=-64

...

We can use the point-slope form we found earlier...

f(x)=29x+64

...

This is just a line so you can use any two points to graph it.

Connect (1,93) to (2,122) and extend upward and to the right as far as you please.  The x-axis should be labeled "days" and the y-axis as "dollars".