The equation of the line of best fit is \(\displaystyle{y}={\left({1}\right)}{\left({12}\right)}^{{x}}\) using the exponential regression.

asked 2021-09-16

A researcher is trying to determine the doubling time of a population of the bacterium Giardia lamblia. He starts a culture in a nutrient solution and estimates the bacteria count every four hours. His data are shown in the table. Use a graphing calculator to find an exponential curve f(t)=a⋅bt that models the bacteria population t hours later.

Time (hours) 04812162024 Bacteria count (CFU/mL)37476378105130173

Time (hours) 04812162024 Bacteria count (CFU/mL)37476378105130173

asked 2021-05-13

The table shows the number of employees at a software company in various years.

Years Since 2000 4 6 8 10 Number of Employees 32 40 75 124

Use your calculator to find an exponential equation that models the growth of the company.

Years Since 2000 4 6 8 10 Number of Employees 32 40 75 124

Use your calculator to find an exponential equation that models the growth of the company.

asked 2021-05-13

The population of Williston, North Dakota, has grown rapidly over the past decade due to an oil boom. The table gives the population of the town in 2007, 2009, and 2011.
Years Since 20007811 Population (thousands)12.413.016.0

Use your calculator to find an exponential equation that models the growth of the town.

Use your calculator to find an exponential equation that models the growth of the town.

asked 2021-06-04

The table shows the number of blogs, in millions, in existence every six months.

Mountib 1___7____13____19___25___31

Bolys 0,7__2_____4_____8___16___31

Using the calculator exponential regression tool, find a function that models the data.

Mountib 1___7____13____19___25___31

Bolys 0,7__2_____4_____8___16___31

Using the calculator exponential regression tool, find a function that models the data.

asked 2021-05-03

The data below give the number of bacteria, in millions, found in a certain culture.

Time (hours) 0 1 2 3 4

Bacteria 5 8 15 26 48

Find an exponential function that models the data.

Time (hours) 0 1 2 3 4

Bacteria 5 8 15 26 48

Find an exponential function that models the data.

asked 2021-06-02

The table shows the populations P (in millions) of the United States from 1960 to 2000.
Year 1960 1970 1980 1990 2000 Popupation, P 181 205 228 250 282

(a) Use the 1960 and 1970 data to find an exponential model P1 for the data. Let t=0 represent 1960. (c) Use a graphing utility to plot the data and graph models P1 and P2 in the same viewing window. Compare the actual data with the predictions. Which model better fits the data? (d) Estimate when the population will be 320 million.

(a) Use the 1960 and 1970 data to find an exponential model P1 for the data. Let t=0 represent 1960. (c) Use a graphing utility to plot the data and graph models P1 and P2 in the same viewing window. Compare the actual data with the predictions. Which model better fits the data? (d) Estimate when the population will be 320 million.

asked 2021-05-26

You open a bank account to save for college and deposit $400 in the account. Each year, the balance in your account will increase \(5\%\). a. Write a function that models your annual balance. b. What will be the total amount in your account after 7 yr? Use the exponential function and extend the table to answer part b.