Avideo rental store charges a $20 membership fee and $2.50 for each video rented. write and graph a linear equation (y=mx+b) to model this situation. if 15 videos are rented, what is the revenue? if a new member paid the store $67.50 in the last 3 months, how many videos were rented?

19 Videos

Step-by-step explanation:

If she paid the store $67.50 (USD) and the membership is 20$ take that 20 and add 2.50 onto it till you get the answer BUT if you want to explain it all the way each month has about 30 days in it so 30x3=90 so she was there for 90 days. 90x$2.50=225 but we all know, she couldn't have rented that many... right? but the final answer is 19, you take 20 from 67.50 which was the membership and all you have to do is fill in that missing amount so take 2.50 and multiply till you get the answer.

Part 1 : Given,

Membership fees = $ 20,

Also, the charges for each video = $ 2.50,

Thus, the total charges for x videos( say y ) = 20 + 2.5x

⇒ y = 20 + 2.5x

Which is the required equation.

Graphing :

if x = 0, y = 20,

if y = 0, 2.5x = -20 ⇒ x = -8,

Join the points (0, 20) and (-8, 0),

Part 2 : If x = 15 videos,

Thus, the total revenue,

y = 20 + 2.5(15) = 20 + 37.5 = $ 57.5,

Part 3 : If y = 67.5,

67.5 = 20 + 2.5x

47.5 = 2.5x

⇒ x = 19

Hence, 19 videos were rented.

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

answer: translate the circles so they share a common center point and dilate circle y by a scale factor of 3.