Exponentials Review

Front

These equations represent the number of people infected with four different flu strains as a function of time, t, in days.

What is the equation with the greatest growth factor?

Back

D.

Front

1. A population of ants is 10,000 at the start of April. Since then, it triples each month. Write an equation relating p, the population of ants, to m, the number of months since April.

Back

p = 10,000 * 3^m

Front

 Write a function to represent the values in the following table:

Back

y = 80 * 3^x

Front

The health department of a small city announced that they had counted numerous cases of the flu and it was continuing to spread widely.  The equation f(t) = 600 * 2^t gives the number of cases of flu, t days since the number of cases was first counted.  

 a) What is f(-3)?

2. b) What does f(-3) represent in this situation?

Back

a) f(-3) = 600 * 2^-3 = 75

b) f(-3) represents the number of cases of flu 3 days since the cases were first counted

Front

  A robot vacuum cleans a dirty floor using multiple passes.  The ounces of dirt on the floor is given by the equation y = 16 * (¾)^x , where x is the number of passes the vacuum has completed.

a) What does the 16 mean in the situation?

b) What does the 3/4 mean in the situation?

Back

a) 16 represents the initial amount of dirt on the floor in ounces.

b) 3/4 represents how much dirt remains after each pass.

Front

The population of a city increases by 5% every year. If its population today is 300,000, write an expression that represents the population in 2 years?

Back

300,000 (1.05)^2

Front

Write a function, f, that decreases by 15% every time x increases by 1?

Back

f(x) = 0.85^x

Front

1. The function c(x)=72*(1.04)^x models the cost in dollars, c, of 1 ounce of a certain chemical used in a laboratory. x represents the number of years since 2020.

The cost of the chemical increases by ____ % each year.

Back

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