Analyzing Exponential Functions from 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

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

What is the growth rate?

• 500

• 0.06

• 1.06

• 0.94

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

What is the growth factor?

• 500

• 0.06

• 1.06

• 0.94

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

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

What will be the value of the dresser at the end of 3 years?

The New York Volleyball Association invited 64 teams to compete in a tournament. After each round, half of the teams were eliminated.

Which equation represents the number of teams, t, that remained in the tournament after r rounds?

• t=64(r)^0.5

• t=64(-0.5)^r

• t=64(1.5)^r

• t=64(0.5)^r

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

What is the initial value?

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 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?