Question

please help ASAP!
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

Answer 1

Let (3,285) and (6,510) reprsent the coordinate points, where x = number of days coat is rented for; and y = price of rental

Given these 2 points, we could write the equation of the straight line.

We need the slope.

Slope = (510-285)/(6-3) = 225/3 = 75

So the slope is 75.

So the equation of the line is y - 285 = 75(x - 3)
y - 285 = 75x - 225
y = 75x + 60

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Answer 2

For part (b), same equation using function notation:

f(x) = 75x + 60 would be in function notation
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Answer 3

part (c) To graph this line...y = 75x + 60...

Find the y -intercept...which is 60 (y = mx+b, b = y-intercept)
Take another point, say x = 1, y = 75(1) + 60 = 135

So plot these 2 points, and you are done.

I will graph it for you.

Answer 4

thank you so much I've been stuck on that problem for a while

Answer 5

Look at the graph. I plotted the y-intercept of 60, and the point (1, 135). Connect the line.

Notice that the line is not graphed for negative values of x, for in this problem x cannot be a negative number since it represents the number of days you rent the coat. And you cannot rent a coat for a negative number of days.

Answer 6

Look all parts over, and make certain that all parts make 100% sense.

Answer 7

You're welcome.

Answer 8

There is one adjustment to the graph I want to make. I would circle the point (0,60) on the graph as to not include that point. Becuase x = 0 means you are not renting the coat for any number of days. So why should y = 60..why pay 60 dollars for no rental. So exclude that point. And start after that point.

Answer 9

I will draw the graph again.

Answer 10

Use the above graph. It shows rental starting with 1 day. Makes more practical sense than starting with 0 days. I used the point x = 2, y = 210. Use the equation y = 75x + 60. When x = 1, y = 135; when x = 2, y = 210. So those 2 points I plotted and connected the line.

Answer 11

Do you follow???????