The percentage of adult height attained by a girl who is x years old can be modeled by f ( x ) = 62 + 35 log ( x − 4 ) , where x represents the girl’s age (from 5 to 15) and f(x) represents the percentage of her adult height. Use the function to solve Exercises 113-114. Round answers to the nearest tenth of a percent. Approximately what percentage of her adult height has a girl attained at age ten? The bar graph shows the average number of hours per week that U.S. wives and husbands engaged in housework in six selected years. Use this information to solve Exercises 115-116.
The percentage of adult height attained by a girl who is x years old can be modeled by f ( x ) = 62 + 35 log ( x − 4 ) , where x represents the girl’s age (from 5 to 15) and f(x) represents the percentage of her adult height. Use the function to solve Exercises 113-114. Round answers to the nearest tenth of a percent. Approximately what percentage of her adult height has a girl attained at age ten? The bar graph shows the average number of hours per week that U.S. wives and husbands engaged in housework in six selected years. Use this information to solve Exercises 115-116.
Solution Summary: The author calculates the percentage of adult height attained by a girl at the age of 10 by using the given function f(x)=62+35mathrmlog
The percentage of adult height attained by a girl who is x years old can be modeled by
f
(
x
)
=
62
+
35
log
(
x
−
4
)
,
where x represents the girl’s age (from 5 to 15) and f(x) represents the percentage of her adult height. Use the function to solve Exercises 113-114. Round answers to the nearest tenth of a percent.
Approximately what percentage of her adult height has a girl attained at age ten?
The bar graph shows the average number of hours per week that U.S. wives and husbands engaged in housework in six selected years. Use this information to solve Exercises 115-116.
An antique table increases in value according to the function
v(x)=950(1.07)x
dollars, where x is the number of years after
1980.
a. How much was the table worth in
1980?
b. If the pattern indicated by the function remains valid, what was the value of the table in
1990?
c. Use a table or a graph to estimate the year when this table will reach double its
1980
value.
An antique table increases in value according to the function
v(x)=550(1.05)x dollars, where x is the number of years after1980
.
a. How much was the table worth in
1980
?
b. If the pattern indicated by the function remains valid, what was the value of the table in
1995
?
c. Use a table or a graph to estimate the year when this table will reach double its
1980
value.
A deposit of $25 is placed in a savings account. Each month, the amount deposited is quadrupled. Write the function that models the exponential change between the number of months, t, and the amount of money deposited in the savings account, a(t).
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