Question

suppose the percent of households y with internet subscription from the years 2016 to 2019 can be approximated by the linear equation y = 2.13x + 72.30, where x is the number of years after 2010.
a. use this equation or a graph of it to complete the ordered pair (9, ).
b. write a sentence explaining the meaning of the answer found in part (a).
c. if this trend continues, predict the percent of households with an internet subscription in 2024?
d. explain any issues with your answer to part c.
(9,91.47)
b. complete the sentence below.
in 2019, approximately 91.47% of households had an internet subscription.
c. complete the sentence below.
in the year 2024, % of households will have an internet subscription.

Explanation:

Step1: Find x - value for 2024

The number of years after 2010 for 2024 is $x = 2024 - 2010=14$.

Step2: Substitute x into the equation

Substitute $x = 14$ into $y = 2.13x+72.30$. So $y=2.13\times14 + 72.30$.
First, calculate $2.13\times14 = 29.82$.
Then, $y=29.82+72.30=102.12$.

Answer:

In the year 2024, 102.12% of households will have an Internet subscription. However, this result is not realistic as a percentage cannot exceed 100% in this context. The linear - model may not be valid for extrapolating so far into the future as it does not account for factors such as market saturation and changes in technology or economic conditions.