1. Company A has 100 stores and adds 50 new stores per year. Company B has 100 stores and increases the number of stores by 50% per year. a. Write a function representing the growth of Company B. b. How many stores will Company B have after 4 years assuming the same growth rate? Show your work.

良区 100% Luke has two children. Each of Luke's children has two children. Each child after that has two children. If Luke's children represent the first generation of the family, which type of function would best model the number of children in the nth generation of the family? A. linear function of n B. quadratic function of n C. square root function of n D. exponential function of n

A new car is purchased for $19,000 and over time its value depreciates by one half every 5.5 years. Write a function showing the value of the car after tt years, where the annual decay rate can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage rate of decay per year, to the nearest hundredth of a percent. Include the growth and increase per year

8. The population of a town is 12,500 and decreases by 6% each year. Write a function to use to predict the yearly decrease. Predict the population after 4 years. Use the table to show the year-to-year decrease. f(x) = Year Population 12,500 1 3 4 5 2.

Average Annual Cost $12,567 $19,345 YEAR 2009 2019 4. The table above gives the average annual cost for a four year PUBLIC college. Please answer the following questions from the chart. A. Write an EXPONENTIAL FUNCTION to model this situation. ( Round to the nearest hundredth for the BASE)

1. An adult takes 400 mg of ibuprofen. The amount of ibuprofen in the person's system decreases by about 29% every 30 minutes. a. Construct a function that will show the amount of ibuprofen in the person's system after a certain number of hours. b. Show the graph of the function using Desmos. Include the graph of the asymptote/s. c. How much ibuprofen is left after 6 hours?

What is an increasing function?

The value of a brand new car is $10,000$10,000 and the value depreciates 18% every year. Write a function to represent the value of the car after �t years, where the quarterly rate of change can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage rate of change per quarter, to the nearest hundredth of a percent.

Use the situation to choose the correct answers. Complete Steps 1-2 in order.

2.  You bought a new computer for $2,500.  Four years later, your computer is valued at $1,250. a.  Assume that the cost function will be linear and write a linear function to describe the cost of the computer ?t years after you bought it. b.  Assume that the cost function will be exponential (think of exponential decay) and write an exponential function to describe the cost of the computer ?t years after you bought it. c.  For each function you just wrote, find the rate at which the cost is depreciating 3 years after you bought it. d.  Which function do you think would be more accurate?  Write a complete sentence or two describing why you think so.