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the bar graph shows the percentage of country a high school seniors who…

Question

the bar graph shows the percentage of country a high school seniors who applied to more than three colleges for selected years from 1980 through 2013. the data in the bar graph can be modeled by f(x)=x + 24 and g(x)=30.7e^{0.0215x}, in which f(x) and g(x) represent the percentage of high school seniors who applied to more than three colleges x years after 1980. use these functions to complete parts (a) through (c) below.
a. according to the linear model, what percentage of high school seniors applied to more than three colleges in 2005?
%

Explanation:

Step1: Calculate the value of x

The year is 2005 and x is years after 1980, so $x = 2005 - 1980=25$.

Step2: Substitute x into the linear - model function

The linear model is $f(x)=x + 24$. Substitute $x = 25$ into it: $f(25)=25 + 24$.

Step3: Calculate the result

$f(25)=49$.

Answer:

49