Question

I WILL REPORT IF ANY LINKS

Answer 1

15$ a day would be the estimate for 1 day

Explanation:

Answer 2

Part a)

The diagonal line goes through (0,15) and (2,20)

Find the slope based on those points

`(x_1,y_1) = (0,15) \text{ and } (x_2,y_2) = (2,20)\\\\m = (y_(2) - y_(1))/(x_(2) - x_(1))\\\\m = (20 - 15)/(2 - 0)\\\\m = (5)/(2)\\\\m = 2.5\\\\`

The y intercept is b = 15 because this is where the line crosses the y axis.

We go from y = mx+b to y = 2.5x+15.

Now plug in x = 1 to find the cost of renting for one day.

y = 2.5x+15

y = 2.5*1+15

y = 17.5

Another way to get the answer is to start at 1 on the x axis number line. Draw a vertical line upward until you reach the curve. From there, draw a horizontal line toward the y axis (refer to the diagram below). You should land somewhere between 15 and 20. The midpoint of which is 17.50

Answer: $17.50

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Part b)

We can do the reverse idea of the previous part.

Start at y = 25 on the y axis. Draw a horizontal line toward the curve. After reaching the curve, draw a vertical line down until you hit the x axis. You should arrive at x = 4.

Or you can use the algebraic approach since we know the cost equation

y = 2.5x+15

25 = 2.5x+15 ... plug in y = 25

25-15 = 2.5x

10 = 2.5x

2.5x = 10

x = 10/(2.5)

x = 4

Answer: 4 days