The function f ( x ) = 2.9 x + 20.1 models the median height, f(x), in inches, of boys who are x months of age. The graph of is shown. a. Describe how the graph can be obtained using transformations of the square root function f ( x ) = x . b. According to the model, what is the median height of boys who are 48 months, or four years, old? Use a calculator and round to the nearest tenth of an inch. The actual median height for boys at 48 months is 40.8 inches. How well does the model describe the actual height? c. Use the model to find the average rate of change, in inches per month, between birth and 10 months. Round to the nearest tenth. d. Use the model to find the average rate of change, in inches per month, between 50 and 60 months. Round to the nearest tenth. How does this compare with your answer in part (c)? How is this difference shown by the graph?
The function f ( x ) = 2.9 x + 20.1 models the median height, f(x), in inches, of boys who are x months of age. The graph of is shown. a. Describe how the graph can be obtained using transformations of the square root function f ( x ) = x . b. According to the model, what is the median height of boys who are 48 months, or four years, old? Use a calculator and round to the nearest tenth of an inch. The actual median height for boys at 48 months is 40.8 inches. How well does the model describe the actual height? c. Use the model to find the average rate of change, in inches per month, between birth and 10 months. Round to the nearest tenth. d. Use the model to find the average rate of change, in inches per month, between 50 and 60 months. Round to the nearest tenth. How does this compare with your answer in part (c)? How is this difference shown by the graph?
Solution Summary: The author explains the steps of obtaining the graph of the function f(x)=2.9sqrtx+20.1 using transformation.
The function
f
(
x
)
=
2.9
x
+
20.1
models the median height, f(x), in inches, of boys who are x months of age. The graph of is shown.
a. Describe how the graph can be obtained using transformations of the square root function
f
(
x
)
=
x
.
b. According to the model, what is the median height of boys who are 48 months, or four years, old? Use a calculator and round to the nearest tenth of an inch. The actual median height for boys at 48 months is 40.8 inches. How well does the model describe the actual height?
c. Use the model to find the average rate of change, in inches per month, between birth and 10 months. Round to the nearest tenth.
d. Use the model to find the average rate of change, in inches per month, between 50 and 60 months. Round to the nearest tenth. How does this compare with your answer in part (c)? How is this difference shown by the graph?
A research study in the year 2009 found that there were 2760 coyotes
in a given region. The coyote population declined at a rate of 5.8%
each year.
How many fewer coyotes were there in 2024 than in 2015?
Explain in at least one sentence how you solved the problem. Show
your work. Round your answer to the nearest whole number.
Answer the following questions related to the following matrix
A =
3
³).
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