(Will award fast Brainliest & Many Points)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) = x, 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 $5. Determine the least expensive option.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.
Accepted Solution
A:
From g(x)=x we see a slope of 1, meaning the movies cost $1 per movie. There's no y intercept so this is a proportional relationship.From the graph f has y intercept $2 and slope (1/2), f(x) = (1/2) x + 2 is the function for the cost of downloading music.Once we get to 3 downloads, f(3)=g(3) and beyond that music downloads will be cheaper because they only cost 1/2 dollar for each additional one compared to $1 for each movie. But for 2 we have f(2)=3, g(2)=2 so two movies will be cheaper. One of each costs $1 + $2.50, more than either of the other choices. Answer: B downloading two movies is cheapest