Question

Chad buys a Twitch prime membership so he can watch people streaming game play. The annual fee is $40. Chad really likes Crafter Steve's stream of Final Fantasy, so he subscribes to his channel for $10 each month. If t = 10m + 40 models this scenario, t = total cost; m = number of months;

A) The total cost will increase by $40 for every 10 months pass
B) The total cost will increase by $10 for every 40 months that pass
C) The total cost will increase by $10 for every month that passes
D) The total cost will increase by $40 for every month that passes

Answer 1

According to the model t = 10m + 40, the total cost of Chad's Twitch Prime membership and Crafter Steve's channel subscription will increase by $10 for every month that passes, making the correct choice C).

Step-by-step explanation:

The cost that Chad pays for a Twitch prime membership and for subscribing to Crafter Steve's channel can be modeled by the equation t = 10m + 40, where t represents the total cost and m represents the number of months. If we look at the equation, we can see that the cost is composed of two parts: a fixed annual fee of $40 for Twitch Prime and a variable fee of $10 which is multiplied by the number of months he subscribes to the channel.

The correct choice based on the model provided is C) The total cost will increase by $10 for every month that passes. This is clear because the $10 is the coefficient of the m variable, indicating the monthly subscription cost, whereas the $40 is a one-time annual fee and doesn't change with the number of months.