Question

4. A video club costs $20 to join. Each video that is rented costs $2.25. Let v represent the number of videos.

Identify the independent and dependent variables. Then, write a rule in function notation for the situation.
a. Independent: videos rented; Dependent: total cost; f(v) = 2.25v - 20
b. Independent: videos rented; Dependent: total cost; f(v) = 2.25y + 20
c. Independent: videos rented; Dependent: total cost; f(v) = 20v +2.25
d. Independent: total cost; Dependent: videos rented; f(v) = 20v – 2.25

Answer 1

B.

Explanation:

$2.25 is the cost of each video that is rented, so $2.25 times v (or 2.25v) represents the cost of 'v' videos.

$20 is the constant, as it costs $20 to join the club. Since this doesn't change, it is the constant.

So, we would have the equation:

f(v) = 2.25v + 20

f(v) is the total cost.

B is your answer because it is the only one with the correct equation.

Hope this helps!