Exponential Functions Word Problems

Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates (loses value) at a rate of 5%.

Write the equation that represents the situation.

Write the equation using this format with no spaces:

y=a(b)^x

(a)  

Cassandra bought an antique dresser for $500. The value of her dresser increases 6% annually.

What is the growth factor?

Cassandra bought an antique dresser for $500. The value of her dresser increases 6% annually. Write the equation that represents the situation. Write the equation using this format with no spaces: y=a(b)^x

(a)  

A zombie infection in Yonkers Public Schools grows by 15% per hour. The initial group of zombies was a group of 4 freshmen.

Write the equation that represents the situation.

Write the equation using this format with no spaces:

y=a(b)^x

(a)  

A new IPhone costs $799 and is estimated to lose 25% of its value every six months after its purchase.

What is the growth factor?

(a)  

A new IPhone costs $799 and is estimated to lose 25% of its value every six months after its purchase.

What is the value of the phone after 2 years?

(a)  

The number of research papers in Professor Sycamore area of expertise has been increasing by 5% every year. Given that 30,010 research papers were published this year. Assuming the trend continues, which equation projects the amount of research papers published in x years?

The value of a car purchased for $20,000 decreases at a rate of 12% per year. What will be the value of the car after 3 years?

The population of Pallet Town increases by 15% every year. If there are currently 190,000 people living there, what will be the population in 13 years?

If necessary, round your answer to the nearest whole number.

Due to its weakening steel industry, Canalave Town has been experiencing a population decline of 10% every year. The current population is 74,000 people. Assuming the trend continues, which equation projects the population in x years?