Question

The total cost C (in dollars) of playing an online game is given by the literal equation C = 30x + 50, where x is the number of months you play the game. Solve the equation for x. How many months do you play the game when you spend $170? $260?

Answer 1

4 months and 7 months

Explanation:

C = 30x + 50

C is cost so when we spend $170 we can solve for x.

$170 = 30x + 50

170 - 50 = 30x + 50 - 50

170 - 50 = 30x

120 = 30x

120/30 = 30x/30

120/30 = x

4 = x

So he has played 4 months when he spends $170

C is cost so when we spend $260 we can solve for x.

$260 = 30x + 50

260 - 50 = 30x + 50 - 50

260 - 50 = 30x

210 = 30x

210/30 = 30x/30

210/30 = x

7 = x

So he has played 7 months when he spends $260