Question

the total cost of a subscription is represented by the function t, m, months after the start. t (m) = 10m. select the impossible output? 35 30 60 120

Explanation:

Step1: Understand the function

The function is \( T(m) = 10m \), where \( m \) is the number of months (a non - negative integer, since you can't have a negative number of months). So the output \( T(m) \) should be a multiple of 10.

Step2: Check each option

• For 30: If \( 10m=30 \), then \( m = \frac{30}{10}=3 \), which is a valid number of months.
• For 60: If \( 10m = 60 \), then \( m=\frac{60}{10} = 6 \), which is a valid number of months.
• For 120: If \( 10m=120 \), then \( m=\frac{120}{10}=12 \), which is a valid number of months.
• For 35: If \( 10m = 35 \), then \( m=\frac{35}{10}=3.5 \). But the number of months \( m \) should be a non - negative integer (you can't have half a month in the context of a subscription start and the function definition here, as it's a count of whole months after the start). So 35 is not a possible output.

Answer:

35