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Let's break down the problem.

### a. How many dollars is the increase?
We know that the monthly cost is **$45** and the price is increasing by **7%**.

The formula to calculate the increase is:
\[
\text{Increase} = \text{Original Cost} \times \frac{\text{Percentage Increase}}{100}
\]
Substitute the given values:
\[
\text{Increase} = 45 \times \frac{7}{100} = 45 \times 0.07 = 3.15
\]
So, **the increase is $3.15**.

### b. What is the new monthly cost?
To find the new cost after the increase:
\[
\text{New Cost} = \text{Original Cost} + \text{Increase}
\]
\[
\text{New Cost} = 45 + 3.15 = 48.15
\]
So, **the new monthly cost is $48.15**.

Would you like more details on the calculations? Here are some related questions:

1. How would the result change if the percentage increase was 10% instead of 7%?
2. How can we calculate the percentage increase if we only know the old and new costs?
3. If the increase happens every month, what will be the yearly cost?
4. What if the cost had decreased by 7% instead of increasing?
5. How would the total cost change if additional taxes of 5% were applied?

**Tip:** When calculating percentages, multiplying the percentage by the original amount gives you the exact increase or decrease.

A family pays $45 each month for cable television. The cost increases 7%. a) How many dollars is the increase? b) What is the new monthly cost?

This problem involves calculating a 7% increase on a monthly bill of $45. Learn how to find the dollar amount increase and the new monthly cost using basic percentage calculations.

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