Answer:
a) The equation which represents Ama-zon's charges is ![129+7.99x](https://tex.z-dn.net/?f=129%2B7.99x)
b) The equation which represents You-tube's charges is ![144+4.99x](https://tex.z-dn.net/?f=144%2B4.99x)
c) Total number of movies which need to be rented should 5 so that both have equal bills.
d) the amount will be <u>$168.95</u> which would be same for both company after renting 5 movies.
Step-by-step explanation:
Given:
Flat Rate of Ama-zon = $129
Price of each movie rental = $7.99
Let 'x' represents the number of movie to be rented.
Solving for part a
Hence Total amount charge by Ama-zon will be equal to sum of Flat Rate of Ama-zon and Price of each movie rental multiplied by number of movie to be rented.
Framing in equation form we get;
Total amount charge by Ama-zon =
(let it be equation 1)
Hence the equation which represents Ama-zon's charges is ![129+7.99x](https://tex.z-dn.net/?f=129%2B7.99x)
Also Given:
Flat Rate of You-tube = $144
Price of each movie rental = $4.99
Let 'x' represents the number of movie to be rented.
Solving for part b
Hence Total amount charge by You-tube will be equal to sum of Flat Rate of You-tube and Price of each movie rental multiplied by number of movie to be rented.
Framing in equation form we get;
Total amount charge by You-tube =
(Let this be equation 2)
Hence the equation which represents You-tube's charges is ![144+4.99x](https://tex.z-dn.net/?f=144%2B4.99x)
Solving for part c
To determine number of movies to be rented so that both have equal bills.
i.e we need to find the value of x
Total amount charge by Ama-zon = Total amount charge by You-tube
![129+7.99x=144+4.99x\\\\7.99x-4.99x=144-129\\\\3x=15\\\\x=\frac{15}{3}=5](https://tex.z-dn.net/?f=129%2B7.99x%3D144%2B4.99x%5C%5C%5C%5C7.99x-4.99x%3D144-129%5C%5C%5C%5C3x%3D15%5C%5C%5C%5Cx%3D%5Cfrac%7B15%7D%7B3%7D%3D5)
Hence Total number of movies which need to be rented should 5 so that both have equal bills.
Solving for part d.
Now Substituting the value of x = 5 which makes both the company charge equal we will find the dollar amount.
Total amount charge by Ama-zon = ![129+7.99x = 129 + 7.99\times 5 = 129+39.95 = $168.95](https://tex.z-dn.net/?f=129%2B7.99x%20%3D%20129%20%2B%207.99%5Ctimes%205%20%3D%20129%2B39.95%20%3D%20%24168.95)
Total amount charge by You-tube = ![144+4.99x = 144 + 4.99\times 5 = 144+24.95 = $168.95](https://tex.z-dn.net/?f=144%2B4.99x%20%3D%20144%20%2B%204.99%5Ctimes%205%20%3D%20144%2B24.95%20%3D%20%24168.95)
Hence the amount will be <u>$168.95</u> which would be same for both company after renting 5 movies.