Sharon wants to switch from cable to satellite TV. She calls Great Vista Satellite to get a quote. After looking at her cable bill, the salesperson explains that they can provide the same 300 channels Sharon has for $0.20 less per channel. If she switches, her monthly satellite bill will come to $180.

Question

Which equation can Sharon use to find c, the average amount the cable company charges per channel?
How much on average does the cable company charge per channel?
$

Answer 1

The equation Sharon can use to find c, the average amount the cable company charges per channel, is:

c = (180 + 0.20n) / 300

To find the average amount the cable company charges per channel, we need to substitute the given values into the equation. Since the satellite bill is $180 and the cable company charges $0.20 less per channel, we can plug these values into the equation:

c = (180 + 0.20n) / 300

c = (180 + 0.20*300) / 300

c = (180 + 60) / 300

c = 240 / 300

c = 0.80

Therefore, the cable company charges, on average, $0.80 per channel.