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The function $ C(m) $ represents the cost, in dollars, for $ m $ months of streaming at $9 per month. The cost function can be written as:

\[
C(m) = 9m
\]

Here, $ m $ is the number of months and must be a non-negative integer (i.e., $ m \geq 0 $) since it represents the number of months someone subscribes to the service.

### Analyzing the range of $ C(m) $:

Since the cost is calculated by multiplying the number of months $ m $ by 9, the possible values of $ C(m) $ are all multiples of 9. The smallest possible value is when $ m = 1 $, giving $ C(1) = 9 $, and the values increase as $ m $ increases.

So, the range of $ C(m) $ includes all multiples of 9 greater than or equal to 9.

The correct answer is: **All multiples of 9 greater than or equal to 9**.

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Do you want more details or have any further questions?

Here are 5 related questions to consider:
1. How would the range change if the cost per month was $7 instead of $9?
2. What is the domain of $ C(m) $ in this context?
3. If the subscription cost were paid for 12 months, what would be the total cost?
4. How would the range be affected if the service allowed partial month charges?
5. What is the value of $ C(m) $ if Trudy subscribes for 6 months?

**Tip**: Always think about the domain of the function first, as it can help guide the calculation of the range.

Trudy subscribed to a television streaming service that charges $9 per month, with payment due in advance. The function C(m) represents the cost, in dollars, of m months of streaming. What is the range of C(m)?

This math problem explores how to calculate the range of a linear function, where the cost of a streaming service is $9 per month. Learn how to determine the range of the function C(m) = 9m for different values of m. Suitable for students in Grades 6-8.

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