Question

A Web site charges $0.99 to download a game and a $12.49 membership fee. Write an expression that gives the

total cost in dollars to download g games. Then find the cost of downloading 6 games.

Answer 1

Part A (Equation): C(g) = 0.99g + 12.49

Part B: Total cost of 6 games = $18.43

Explanation:

Given the $0.99 charge to download a game, and a membership fee of $12.49:

Part A: Find the Equation of Total Cost, C, and Number of Games (g)

A cost function (or equation) that represents the total cost (C ), in dollars, to download g number of games is:

C(g) = 0.99g + 12.49

where:

• 0.99 (cost per downloaded game) = represents the rate of change (or slope). This means that the total cost increases by $0.99 for every game that is dowloaded.

• 12.49 (membership fee) = the initial value or flat fee (y-intercept).

Part B: Find the cost of downloading 6 games:

To find the cost of downloading 6 games C(6), substitute the value of g = 6 into the equation:

C(g) = 0.99g + 12.49

C(6) = 0.99(6) + 12.49

C(6) = 5.94 + 12.49

C(6) = 18.43

Therefore, it costs $18.43 to download 6 games.