Exponential Growth & Decay

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?​ (a)  

A town with a population of 5,000 grows 3% per year. Find the population at the end of 10 years.

• 9,689

• 6,719

• 52,428

• 5,150

Suppose you deposit $1000 in a college fund that pays 7.2% interest compounded annually. Find the account balance after 5 years.

• 2489

• 1598

• 1415

• 37073984

The population of Smalltown in the year 1890 was 6,250. Since then, it has increased at a rate of 3.75% each year. What was the population of Smalltown in the year 1915?

• 14,658

• 15,688

• 24,000

• 25,369

A radioactive element decays at a rate of 5% annually. There are 40 grams of the substance present. How much of the substance remains after 30 years.

• 8.58

• 7.25

• 172.87

• 9.36

• time

• rate

• initial value

In the equation 𝑦 = 2.1 (1.04) 𝑥 , what is the initial value?

• 1.04%

• 2.1

• 1.04

• 2.1 %

This is an example of:

• Linear Growth

• Linear Decay

• Exponential Growth

• Exponential Decay

This is an example of:

• Linear Growth

• Linear Decay

• Exponential Growth

• Exponential Decay

James' 70 in. giant peach doubles in size every week. Write an expression that would represent how big the peach is after 5 weeks.

• 70(2)³⁵
• 70(2)⁵
• 2(70)⁵
• 5(70)²