Final answer:
The correct statement is B: The total cost will increase by $10 for every month that passes, as this aligns with Chad's monthly $10 subscription fee for a Twitch channel on top of his annual $40 Twitch prime membership fee.
Step-by-step explanation:
If Chad buys a Twitch prime membership for an annual fee of $40 and subscribes to a channel for $10 each month, we can use the equation t = 10m + 40 to model this scenario, where t represents the total cost and m represents the number of months.
Looking at the statements provided:
- A. The total cost will increase by $40 for every month that passes - This is incorrect because there is no monthly increase of $40.
- B. The total cost will increase by $10 for every month that passes - This is true, as the equation indicates a $10 subscription fee is added each month.
- C. The total cost will increase by $40 for every 10 months that pass - This is incorrect because the $40 is a one-time annual fee, not a fee that recurs every 10 months.
- D. The total cost will increase by $10 for every 40 months that pass - This is incorrect as it suggests a $10 fee every 40 months, which does not align with the monthly subscription fee.
Therefore, the statement that is true is B: The total cost will increase by $10 for every month that passes.