Question

3 Comcast charges $50 per month for basic cable and $5.00 for each premium movie channel. Xfinity charges $41 per month for the same cable package and $6.50 for each premium movie channel. B. Write an inequality to represent how many movie channels a customer needs to purchase from Xfinity Cable to pay at least as much as a Comcast subscriber.

Answer 1

To represent how many movie channels a customer needs to purchase from Xfinity Cable to pay at least as much as a Comcast subscriber, the inequality is 41 + 6.50x ≥ 50. The customer needs to purchase a minimum of 2 movie channels from Xfinity.

Step-by-step explanation:

To write an inequality that represents how many movie channels a customer needs to purchase from Xfinity Cable to pay at least as much as a Comcast subscriber, we can set up an equation and solve for the number of movie channels.

Let's say the customer needs to purchase x movie channels from Xfinity.

The total cost for Xfinity is then the monthly cost for the basic cable package ($41) plus the cost for the movie channels ($6.50 * x).

The inequality can be written as:

41 + 6.50x ≥ 50

To find the minimum number of movie channels the customer needs to purchase to pay at least as much as a Comcast subscriber, we will solve this inequality.

41 + 6.50x ≥ 50

Subtracting 41 from both sides:

6.50x ≥ 9

Dividing both sides by 6.50:

x ≥ 1.38

Rounding up to the nearest whole number, the customer needs to purchase a minimum of 2 movie channels from Xfinity to pay at least as much as a Comcast subscriber.

Answer 2

18

Step-by-step explanation:

let us model the cost

let the cost be y and the number of movie channel be x

for 3 comcast

y=50+5x-----1

and for Xfinity

y=41+6.5x-------2

to solve for the number of movie channel so that the two (3 comcast and Xfinity) will pay the same, we need to equate 1 and 2

50+5x=41+6.5x

50-41=6.5x-5x

9=0.5x

x=9/0.5

x=18