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 function f ( x ) = 1.8 ln x + 3.42 models the husbands' weekly housework hours, f ( x ). x years after 1964. a. Use the function to find the number of weekly housework hours for husbands in 2010. Round to the nearest hour. Does this function value overestimate or underestimate the number of hours displayed by the graph? By how much? b. Use the function to project husbands' weekly housework hours in 2025. Round to the nearest hour.
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 function f ( x ) = 1.8 ln x + 3.42 models the husbands' weekly housework hours, f ( x ). x years after 1964. a. Use the function to find the number of weekly housework hours for husbands in 2010. Round to the nearest hour. Does this function value overestimate or underestimate the number of hours displayed by the graph? By how much? b. Use the function to project husbands' weekly housework hours in 2025. Round to the nearest hour.
Solution Summary: The author explains that the function f(x) represents the husbands’ weekly housework hours, x years after 1964.
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 function
f
(
x
)
=
1.8
ln
x
+
3.42
models the husbands' weekly housework hours, f(x). x years after 1964.
a. Use the function to find the number of weekly housework hours for husbands in 2010. Round to the nearest hour. Does this function value overestimate or underestimate the number of hours displayed by the graph? By how much?
b. Use the function to project husbands' weekly housework hours in 2025. Round to the nearest hour.
Directions: Use the equation A = Pet to answer each question and be sure to show all your work.
1. If $5,000 is deposited in an account that receives 6.1% interest compounded continuously, how much money is in the
account after 6 years?
2. After how many years will an account have $12,000 if $6,000 is deposited, and the account receives 3.8% interest
compounded continuously?
3. Abigail wants to save $15,000 to buy a car in 7 years. If she deposits $10,000 into an account that receives 5.7% interest
compounded continuously, will she have enough money in 7 years?
4. Daniel deposits $8,000 into a continuously compounding interest account. After 18 years, there is $13,006.40 in the account.
What was the interest rate?
5. An account has $26,000 after 15 years. The account received 2.3% interest compounded continuously. How much was
deposited initially?
TRIANGLES
INDEPENDENT PRACTICE
ription Criangle write and cow
Using each picture or description of triangle write and solve an equation in ordering the
number of degrees in each angle
TRIANGLE
EQUATION & WORK
ANGLE MEASURES
A
B
-(7x-2)°
(4x)
(3x)°
(5x − 10)
C
(5x – 2)
(18x)
E
3.
G
4.
H
(16x)°
LL
2A=
2B=
ZE=
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