An Internet, telephone, and cable TV package plan costs [tex]\$90[/tex] each month. The Internet part of the bill is [tex]\$33[/tex]. Find the ratio of the Internet bill to the cable TV bill in three different ways.

Choose the correct answer below:

A. 33 to 57, 33:57, or [tex]\frac{33}{57}[/tex]

B. 41 to 16, 41:16, or [tex]\frac{41}{16}[/tex]

C. 41 to 33, 41:33, or [tex]\frac{41}{33}[/tex]

D. 57 to 33, 57:33, or [tex]\frac{57}{33}[/tex]

E. 33 to 41, 33:41, or [tex]\frac{33}{41}[/tex]

F. 16 to 41, 16:41, or [tex]\frac{16}{41}[/tex]

Sure! Let's solve this step-by-step:

1. Identify the Costs:
- The total cost for the Internet, telephone, and cable TV package is [tex]$90 per month.
- The cost of the Internet is $[/tex]33 per month.

2. Find the Cost of Telephone and Cable Combined:
- You can calculate the cost of the telephone and cable combined by subtracting the Internet cost from the total cost:
[tex]\[
\text{Telephone and Cable cost} = \text{Total cost} - \text{Internet cost} = 90 - 33 = 57
\][/tex]
So, the cost for telephone and cable together is $57 per month.

3. Determine the Ratio of the Internet Cost to the Cable Cost:

To express the Internet cost compared to the telephone and cable cost, we can write the ratio in three different ways:
- First, as a ratio notation "Internet to Cable":
[tex]\[
33 \text{ (Internet cost)} : 57 \text{ (Telephone and Cable cost)}
\][/tex]
- Second, as a fraction:
[tex]\[
\frac{33}{57}
\][/tex]
- Third, as a decimal, if needed, which is approximately 0.58 (though this isn't directly asked in the options provided).

4. Choose the Correct Option:

Let's compare our results to the options provided.
- Option A states the ratio as: 33 to 57, 33:57, or [tex]$\frac{33}{57}$[/tex].

Therefore, the correct answer is Option A: 33 to 57, 33:57, or [tex]$\frac{33}{57}$[/tex].