Use a calculator with an y x key to solve Exercises 71-76. The bar graph shows the percentage of U.S high school seniors who applied to more than three colleges for selected years from 1980 through 2013. The data can he modeled by f ( x ) = x + 31 and g ( x ) = 32 ⋅ 7 e 0 ⋅ 0217 x , 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 solve Exercises 71-72. Where necessary, round answers to the nearest percent. a. According to the linear model, what percentage of high school seniors applied to more than three colleges in 2013? b. According to the exponential model, what percentage of high school seniors applied to more than three colleges in 2013? c. Which function is a belter model for the data shown by the bar graph in 2013?
Use a calculator with an y x key to solve Exercises 71-76. The bar graph shows the percentage of U.S high school seniors who applied to more than three colleges for selected years from 1980 through 2013. The data can he modeled by f ( x ) = x + 31 and g ( x ) = 32 ⋅ 7 e 0 ⋅ 0217 x , 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 solve Exercises 71-72. Where necessary, round answers to the nearest percent. a. According to the linear model, what percentage of high school seniors applied to more than three colleges in 2013? b. According to the exponential model, what percentage of high school seniors applied to more than three colleges in 2013? c. Which function is a belter model for the data shown by the bar graph in 2013?
Solution Summary: The author calculates the percentage of high school seniors applying to more than 3 colleges in 2013 based on the linear model f(x)=x+31 where x is the number of years after 1980.
Use a calculator with an
y
x
key to solve Exercises 71-76.
The bar graph shows the percentage of U.S high school seniors who applied to more than three colleges for selected years from 1980 through 2013.
The data can he modeled by
f
(
x
)
=
x
+
31
and
g
(
x
)
=
32
⋅
7
e
0
⋅
0217
x
,
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 solve Exercises 71-72. Where necessary, round answers to the nearest percent.
a. According to the linear model, what percentage of high school seniors applied to more than three colleges in 2013?
b. According to the exponential model, what percentage of high school seniors applied to more than three colleges in 2013?
c. Which function is a belter model for the data shown by the bar graph in 2013?
2. [-/1 Points]
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MY NOTES
SESSCALCET2 5.5.003.MI.
Evaluate the integral by making the given substitution. (Use C for the constant of integration.)
x³ + 3 dx, u = x² + 3
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3. [-/1 Points]
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MY NOTES
SESSCALCET2 5.5.006.MI.
Evaluate the integral by making the given substitution. (Use C for the constant of integration.)
|
+8
sec² (1/x³) dx,
u = 1/x7
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4. [-/1 Points]
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SESSCALCET2 5.5.007.MI.
Evaluate the indefinite integral. (Use C for the constant of integration.)
√x27 sin(x28) dx
53,85÷1,5=
3. In the space below, describe in what ways the
function f(x) = -2√x - 3 has been
transformed from the basic function √x. The
graph f(x) on the coordinate plane at right.
(4 points)
-4
-&-
-3
--
-2
4
3-
2
1-
1 0
1
2
-N
-1-
-2-
-3-
-4-
3
++
4
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