http://www.ck12.org Chapter 1. Functions, Limits, and Continuity
- Based on the model for the previous problem, when will women make as much as men? Is your answer a
realistic prediction? - The average price of a gallon of gas for selected years from 1975 - 2008 is given in the following table:
a. Make a scatter plot of the data.
b. Based on your sketch, should you use a linear, quadratic, or cubic model for the data?
c. Find a model for the data.
d. If gas continues to rise at this rate, predict the price of gas in the year 2012.
TABLE1.9:
Year Cost
1975 1
1976 1. 75
1981 2
1985 2. 57
1995 2. 45
2005 2. 75
2008 3. 45- For the previous problem, use a linear model to analyze the situation. Does the linear method provide a better
estimate for the predicted cost for the year 2012? Why or why not? - Suppose that you place $1,000 in a bank account where it grows exponentially and is compounded annually
over the course of six years. The table below shows the amount of money you have at the end of each year.
a. Find the exponential model.
b. In what year will you triple your original amount?
TABLE1.10:
Year Amount
0 1000
1 1127. 50
2 1271. 24
3 1433. 33
4 1616. 07
5 1822. 11
6 2054. 43- Suppose that in the previous problem, you started with $3,000 but maintained the same interest rate.
a. Give a formula for the exponential model. (Hint: note the coefficient in the previous answer!)
b. How long will it take for the initial amount, $3,000, to triple? Explain your answer. - The following table gives the average daily temperature for Indianapolis, Indiana for each month of the year:
a. Construct a scatter plot of the data.
b. Find the sine model for the data.
TABLE1.11:
Month Avg Temp (F)
Jan 22