Exponential Function

Find the equation of the exponential function represented by the table.

Find the equation of the exponential function represented by the table.

Determine the exponential equation for the graph.

Determine the exponential equation for the graph.

Determine the exponential equation for the graph.

A car bought for $13,000 depreciates at 12% annually. We have modeled this situation with the equation y=13000(0.88)^x.

What does x (input) represent?

• time in years

• car's value in dollars

In March, 2020, before the Covid-19 lockdown, 1,200,000 Texans had applied for unemployment. During the COVID-19 lockdown, the number of people applying for unemployment increased by 4% each month. What exponential function can be used to find the number of people applying for unemployment after x months of COVID-19 lockdown?​

The current population of India (2021) is 1.393 billion people, at an annual rate of increase of 97%. Which exponential function models the population, in billions of people, of India after x number of years?​

(a)  

A flea medicine breaks down at a rate of 20% per hour. This is the rate of decay of the medicine. The initial dose is 60 milligrams. Which of the following represent the equation the models the amount of flea medicine left in an animal?

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

• y=5000(0.7)^x

• y=30(5000)^x

• y=5000(1.3)^x

• y=5000x^x