The price for digital downloads of music is represented by the linear function f(x) shown on the graph. The price for digital downloads of movies is represented by g(x) = 3x, where x is the number of movies downloaded and g(x) is the total cost in dollars. You want to make 2 downloads, and you have $6. Determine the least expensive option.

The price for digital downloads of music is represented by the linear function fx shown on the graph The price for digital downloads of movies is represented by class=

Respuesta :

Answer:

B

Step-by-step explanation:

A] You download 2 songs.

B] You download 2 movies.

C] You download 1 song and 1 movie.

D] You don't have enough money for 2 downloads.

x= number of movies downloaded

g(x) = total cost in dollars.

From g(x)=x

There is a slope of 1

That is, the movies cost $1 per movie.

It is a proportional relationship because of the absence of y-intercept

f(x) has a slope of (1/2) and y-intercept $2

f(x) = (1/2)x + 2 is the function for the cost of downloading music.

When we get to 3 downloads,

f(3)=g(3) and above, music downloads will be cheaper because they only cost 1/2 dollar for each additional movie compared to $1 for each movie.

For 2 movie downloads

we have,

f(2)=3

g(2)=2

So, downloading two movies will be cheaper.

One of each costs $1 + $2.50,

more than either of the other choices.