Questions: Finish update : (a) Which type of subscription was more popular in 2015 ? In 2015, the streaming service was more popular. Which type of subscription was more popular in 2021? In 2021, was more popular. (b) During which year was the number of streaming service and cable TV subscribers the same? About how many people subscribed to each content provider at that point? The number of subscribers was the same in the year 2017 with both providers having about 140 million subscribers. (c) If represents 2012 and represents 2022 , the number of subscribers in millions can be modeled by the linear equations in the following system. Cable TV Streaming Service Solve this system. (Hint: Eliminate the variable and find to the nearest tenth. Then substitute to find to the nearest tenth.) Write the solution as an ordered pair of the form (years since 2012, number of subscribers in millions). The solution set is . (Type an ordered pair. Round to the nearest tenth as needed.) (d) Interpret the answer for part (c), rounding down for the year. How does this compare to the estimate from part (b)? During the number of subscribers for both providers was about million. This is the estimate in part (b). (Round to the nearest whole number as needed.)

Finish update : (a) Which type of subscription was more popular in 2015 ? In 2015, the streaming service was more popular. Which type of subscription was more popular in 2021? In 2021, was more popular. (b) During which year was the number of streaming service and cable TV subscribers the same? About how many people subscribed to each content provider at that point? The number of subscribers was the same in the year 2017 with both providers having about 140 million subscribers. (c) If represents 2012 and represents 2022 , the number of subscribers in millions can be modeled by the linear equations in the following system. Cable TV Streaming Service Solve this system. (Hint: Eliminate the variable and find to the nearest tenth. Then substitute to find to the nearest tenth.) Write the solution as an ordered pair of the form (years since 2012, number of subscribers in millions). The solution set is . (Type an ordered pair. Round to the nearest tenth as needed.) (d) Interpret the answer for part (c), rounding down for the year. How does this compare to the estimate from part (b)? During the number of subscribers for both providers was about million. This is the estimate in part (b). (Round to the nearest whole number as needed.)
Transcript text: Finish update : (a) Which type of subscription was more popular in 2015 ? In 2015, the streaming service was more popular. Which type of subscription was more popular in 2021? In 2021, was more popular. (b) During which year was the number of streaming service and cable TV subscribers the same? About how many people subscribed to each content provider at that point? The number of subscribers was the same in the year 2017 with both providers having about 140 million subscribers. (c) If represents 2012 and represents 2022 , the number of subscribers in millions can be modeled by the linear equations in the following system. Cable TV Streaming Service Solve this system. (Hint: Eliminate the variable and find to the nearest tenth. Then substitute to find to the nearest tenth.) Write the solution as an ordered pair of the form (years since 2012, number of subscribers in millions). The solution set is . (Type an ordered pair. Round to the nearest tenth as needed.) (d) Interpret the answer for part (c), rounding down for the year. How does this compare to the estimate from part (b)? During the number of subscribers for both providers was about million. This is the estimate in part (b). (Round to the nearest whole number as needed.)
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Solution

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Solution Steps

Step 1: Identify the year when the number of streaming and cable TV subscribers was the same

From the problem, we know that the number of subscribers was the same in the year 2017.

Step 2: Determine the number of subscribers for both providers in 2017

Both providers had approximately 140 million subscribers in 2017.

Step 3: Solve the system of linear equations to find the year when the number of subscribers was the same

Given the system of equations: \[ 4x + y = 111 \] \[ 21x - y = -4 \]

Add the two equations to eliminate \( y \): \[ 4x + y + 21x - y = 111 - 4 \] \[ 25x = 107 \] \[ x = \frac{107}{25} \] \[ x = 4.28 \]

Substitute \( x = 4.28 \) back into the first equation to find \( y \): \[ 4(4.28) + y = 111 \] \[ 17.12 + y = 111 \] \[ y = 111 - 17.12 \] \[ y = 93.88 \]

Final Answer

The solution set is approximately (4.3, 93.9).

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