Growth & Decay Exit Ticket

What type of function is y = 7(5/4)^x?

• Exponential Growth
• Exponential Decay
• Linear
• None of the above

Write the equation that represents the table below:

• y=1/2(4)^x
• y=2(4)^x
• y=4(2)^x
• y=4(1/2)^x

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

A bank account earning annual compound interest was opened, and no additional withdrawals or deposits were made after the initial deposit. The balance in the account after x years can be modeled by  $b\left(x\right)=850\left(1.025\right)^x$  . Which statement is the best interpretation of one of the values in this function?

• The initial balance in the account decreases at a rate of 97.5% each year.

• The balance in the account increases at a rate of 2.5% each year.

• The initial balance in the account was $1,025.

• The balance in the account at the end of 1 year is $850.

• The amount deposited in the account was $850.

Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. How much will the printer be worth in 8 years?

• $23,219.72
• $136.72
• $51,710.94
• $16,710.94