4.2 Exponential Growth and Decay and Logistic Growth

Aaron owns a rare baseball card. He bought the card for $7.50 in 1987 and its value increases

by 6% each year. What will be the baseball card's value in 2015.

$ (a)  

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Jennifer started working at her job earning $6.25 per hour. Every six months, she gets a 3.25%

raise. If Jennifer has worked at the job for 14 years, what is her hourly rate?

$ (a)  

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In 2005, the Summerville Journal had 110,000 subscriptions. The number of subscriptions

subsequently decreased by 8% each year. Write and use an exponential decay function to

find the number of subscriptions in 2022.

(a)   Subscriptions

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In November, 26 students at Monarch High School had contracted the flu. Each month, the

number of students who have contracted the flu increases by 36%. Write and use an

exponential growth function to find the total number of students who have contracted the flu by May.

(a)   students

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A certain compound has a half-life of four days. Write and use an exponential decay function to find the amount of compound remaining from a 75-ounce sample after three weeks.

(a)   ounces

A 4-foot tree was planted in 1984. The tree grows continuously by 22% each year from this

point forward. Find the height of the tree after 8 years.

(a)   feet

An ice sculpture measures 52 inches and melts continuously by 3% per minute. Find the height of a sculpture after 15 minutes.

(a)   inches

In 2002, a certain town recorded 15,300 acres of undeveloped land. Each year after, the

amount of land continuously decreased by 7% due to residential and commercial development. Find the

approximate amount of undeveloped land in 2013.

(a)   acres

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