Question

lan likes to play online games. There is an online gaming company where he can download games.There are two pricing options, he can become a member and pay $15 per year and $0.99 per gamedownload. If he decides to not become a member he will have to pay $1.29 per game download.a) Write an equation that sets the two plans equal to each other.b) Solve the equation you wrote from a)c) Interpret the solution from a) within the context of the problem

Answer 1

a) The equation, if the two plans are equal is

15 + 0.99x = 1.29x

b) The solution to the equation is

x = 50

c) The solution x = 50 means he can download a total of 50 games with either plan

Step-by-step explanation:

The first pricing option, where he can pay $15 per year and $0.99 per game, may be represented by the equation:

15 + 0.99x

Where x is the number of games he plays per year.

The second pricing option, where he can pay $1.29 per game, may be represented by the equation:

1.29x

a) If the two plans are equal to each other, then we have

15 + 0.99x = 1.29x

b) Solving the equation in a)

15 + 0.99x = 1.29x

Subtract 0.99x from both sides of the equation

15 + 0.99x - 0.99x = 1.29 - 0.99x

15 = 0.3x

Divide both sides by 0.3

15/0.3 = 0.3x/0.3

50 = x

Therefore, x = 50

c) The solution x = 50 means the total number of games he can download with either plan is 50, since the plans are equal.