Question

The Excel Cable Company has a monthly fee of $32.00 and an additional charge of $8.00 for each premium channel. The Best Cable Company has a monthly fee of $26.00 and an additional charge of $10.00 for each premium channel. The Horton family is deciding which of these two cable companies to subscribe to. For which number of premium channels will be the total monthly subscription fee for the excel and best cable companies be the same

Answer 1

Answer: 3 channels

Explanation:

The ECC has an initial fee of $32.00 with a $8.00 fee for each channel, so we can label that as Total = 8(x) + 32.00.

The BCC has an initial fee of $26.00 with a $10.00 fee for each channel, so we can label that as Total = 10(x) + 26.00.

Since we want to find how many premium channels each company needs till the monthly subscription rate will be equal, we can set those equal to eachother.

8x + 32.00 = 10x + 26.00

2x = 6

x = 3, so when each company has 3 premium channels used, the prices will be the same.

Answer 2

We can set up the following equation:

Excel Cable Company fee = Best Cable Company fee

32 + 8x = 26 + 10x

Here, x represents the number of premium channels. We can solve for x by subtracting 26 from both sides and then dividing both sides by 2 to get:

6 + 6x = 10x

6 = 4x

x = 6/4

x = 1.5

Therefore, the total monthly subscription fee for the Excel and Best cable companies will be the same for 1.5 premium channels. Note that this is not a whole number, so it is not possible for the subscription fees to be the same for a whole number of premium channels