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James paid an initial fee of $6.00 for a movie rental service. Each time he rents a movie he is charged $2.00. Sarah uses a different movie rental service that charges based on the equation y = 3x + 4, where y is the total cost and x is the number of movies rented. At what point are the prices of the two services the same?

Respuesta :

letstuffsitandcomeba

Answer:We'll call the number of movies you rent \begin{align*}x\end{align*} and the total cost of renting movies for a year \begin{align*}y\end{align*}. ... pay per year and the rental fee is the dollar amount you pay when you rent a movie. ... The lines cross because the price of rental per movie is different for the two ...

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Step-by-step explanation:

miaisalpha

Answer:

The prices of the two services are the same when two movies have been rented

Step-by-step explanation:

We can figure out at what point the two services cost the same by using the y=mx+c formula

James:

y=2x+6

Sarah:

y=3x+4

We then figure out at what point are the two services the same by making the equations equal each other and then solve from their

3x+4=2x+6

3x+4-2x=2x+6-2x

x+4-4=6-4

x=2

Therefore the price of the two services are the same when 2 movies have been rented

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