Answer:
(a)
let m represents renting movie and c represents the total cost of buying a rental card.
As per the given statement: A video store charges $10 for a rental card plus $2 per movie.
⇒ c(m) = 2m + 10 ......[1]
which implies that this equation represents the slope intercept form(i.e y = ax+b) where 2 is the slope and a y-intercepts of 10.
(b)
Graph of the given equation:
c(m) = 2m + 10
you can see in the figure given below.
(c)
now, to find the cost of buying a rental card and renting 6 movies.
⇒ m = 6 [ as m represents renting movie]
Substitute this m =6 in equation [1];
c(6) = 2(6) + 10
c(6) = 12 + 10
c(6) = 22.
Therefore, the total cost of buying a rental card and renting 6 movies is, $22.