Exponential Function Applications

For this question the shortest person must click the answer.

The initial value of an exponential function is 1.8. The rate of growth is 4.2%. Which models the value of the function, y, over time t?

• $y=1.8\left(1.42^t\right)$

• $y=1.8+4.2^t$

• $y=1.8\left(1.042\right)^t$

• $y=1.8\left(4.2^t\right)$

This questions will be answered by the person who has the shortest hair.

An exponential function decays at a rate of 20% and has an initial value of 13. Which represents the function?

• $y=-13\left(0.2\right)^t$

• $y=13\left(1.8\right)^t$

• $y=13-\left(0.2\right)^t$

• $y=13\left(0.8\right)^t$

This question will be answered by the person whose first name comes first alphabetically.

A student purchased a bike 3 years ago. The value of the bike decreased at a constant percent rate. After 1 year the value of the bike had decreased to $1,080. After 2 years, the value was $972. What exponential function models the value of the bike?

Hint: Make a table of values and then find an equation that matches it.

• $y=1,080\left(0.9\right)^x$

• $y=1,200\left(1.1\right)^x$

• $y=972\left(2\right)^x$

• $y=1,200\left(0.9\right)^x$

The person with the birthday earliest in the year will answer this question.

A student puts $1,500 in a savings account that paid 3% interest compounded annually. The function that models the value of the account, y, after t years is y = 1,500(?????)^t. What is the missing value?

The who loses paper, rock, scissors answers this question.

Radioactive materials can be described using half-lives. For every half-life that passes, the amount of radioactive material decreases by 50%. If you begin with 40 grams of material, which function can you use to find y, the amount of substance that remains after t half-lives?

• $y=40\left(25\right)^t$

• $y=40\left(1.5\right)^t$

• $y=40\left(1.05\right)^t$

• $y=40\left(0.5\right)^t$

The person who puts their finger on their nose last answers this question.

The graph of an exponential function contains the points (1, 24) and (2, 144). What is the function?

• $y=4\left(6\right)^x$

• $y=4\left(3\right)^x$

• $y=2\left(6\right)^x$

• $y=4\left(4\right)^x$

Last one to stand up answers this question.

What is the rule of the function whose graph is shown below?

• $y=-3\cdot2^x$

• $y=-2\cdot3^x$

• $y=2\left(-3^x\right)$

• $y=-\left(2\right)^x$

Youngest person at the table answers this question.

Identify the percent (%) increase or decrease for the following function.

f(x) = 35 (1 – 0.06)^x

• Increase by 6%

• Decrease by 0.06%

• Increase by 0.06%

• Decrease by 6%

Person with the longest last name answers.

Which function is exponential?

• f(x)

• h(x)

• g(x)

Person with the most pets has to solve the problem. If there is a tie - paper, rock, scissors.

Solve:

• A

• B

• C

• D