Match Growth and Decay with Equations

Complete the table to determine whether each function represents exponential growth or exponential decay.

Groups:

(a) exponential GROWTH

,

(b) exponential DECAY

In 2020 the cost of a car was $45,000. Since then, its value has depreciated 6% per year. Which equation represents the value of the car as a function of time (t) in years since 2020?

Match the following exponential growth or decay to the function

• Growth of 30%

• growth of 3%

• Decay of 30%

• Decay of 3%

• Does not match any

Mrs. Wilson drinks coffee every morning with 100 mg of caffeine. Half of the caffeine is in her body 3 hours later. Which function f could describe the caffeine h hours after drinking her coffee, assuming it decays exponentially?

• $30,747

• $5747

• $26,750

• $30,626

By what factor (b) did the population grow in the first hour?

• not enough information given

Which equation represents the bacteria population, b, and the number of hours since it was measured, h.

Groups:

(a) YES

,

(b) NO

• The model shows the population is growing exponentially

• The model shows a current population of 1.2 million people

• The model shows the population increasing by 15% every 20 years.

• 5 Years

• 6 Years

• 4 Years

• 2 Years

What is the factor (b) by which the value of the graph changes. Round your answer to the nearest tenth or write as a fraction.

Mathematical Equivalence

ON