A college student is considering two television streaming services instead of cable. The table shows the monthly cost, y, for purchasing x extra channels for each service. Service 1 Service 2 $20 service fee plus $8 for each extra channel $45 service fee plus $3 for each extra channel If the college student plans to purchase 8 extra channels, which statement is true?

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MrRoyal MrRoyal · Answer 1 · 2021-12-22T12:01:01+01:00

The charges by both streaming services are illustrations of linear functions

Service 1 charges more for 8 extra channels, than service 2

Let x represents the number of extra channels, and y represents the cost.

For service 1, we have:

$20 service fee plus $8 for each extra channel

So, the linear equation that represents this service is:

[tex]y = 20 + 8x[/tex]

For service 2, we have:

$45 service fee plus $3 for each extra channel

So, the linear equation that represents this service is:

[tex]y = 45 + 3x[/tex]

For extra 8 channels, the total charges of service 1 is:

[tex]y = 20+ 8 \times 8[/tex]

[tex]y = 84[/tex]

For extra 8 channels, the total charges of service 2 is:

[tex]y = 45 + 3 \times 8[/tex]

[tex]y = 69[/tex]

By comparison, 84 > 69

Hence, service 1 charges more for 8 extra channels, than service 2

Read more about linear functions at:

https://brainly.com/question/14323743