Question 1

During normal breathing, about 15% of the air in the lungs is replaced after one breath. Which is an exponential decay model for the amount of original air left in the lungs if the initial amount of air in the lungs is 600 mL.?

Accepted Answer

$y=600\left(0.85\right)^t$

Answer

$y=600\left(0.85\right)^t$

Answer

$y=600\left(0.85\right)^t$

Answer

$y=600\left(0.85\right)^t$

Question 2

The amount $y$ (in grams) of the radioactive isotope iodine-123 remaining after t hours is $y=a(0.05)^{\frac{t}{15}}$ , where $a$ is the initial amount in grams. What percent of the iodine-123 decays each hour?

Accepted Answer

$y=600\left(0.85\right)^t$

Answer

$y=600\left(0.85\right)^t$

Answer

$y=600\left(0.85\right)^t$

Answer

$y=600\left(0.85\right)^t$

Question 3

The value of a laptop $y$ (in thousand pesos) can be approximated by the model $y=a(0.05)^{\frac{t}{15}}$ where $a$ is the number of years since the laptop was new. What is the annual percent increase or decrease in the value of the laptop?

Accepted Answer

$y=600\left(0.85\right)^t$ decrease

Answer

$y=600\left(0.85\right)^t$ increase

Answer

$y=600\left(0.85\right)^t$ increase

Answer

$y=600\left(0.85\right)^t$ decrease

Question 4

Miguel graphed the locations of several places on his school playground in a coordinate plane. There is also a water fountain halfway between the carousel and seesaw. What are the polar coordinates of the water fountain?

Accepted Answer

$y=600\left(0.85\right)^t$

Answer

$y=600\left(0.85\right)^t$

Answer

$y=600\left(0.85\right)^t$

Answer

$y=600\left(0.85\right)^t$

Question 5

If we put 150,000 pesos in a savings account earning 5% simple interest per year, how much would the final amount be after 10 years? Which is the exponential model of the situation?

Accepted Answer

$y=600\left(0.85\right)^t$

Answer

$y=600\left(0.85\right)^t$

Answer

$y=600\left(0.85\right)^t$

Answer

$y=600\left(0.85\right)^t$

Question 6

What inverse logarithmic expression would result to $y$ ?

Accepted Answer

$y=600\left(0.85\right)^t$

Answer

$y=600\left(0.85\right)^t$

Answer

$y=600\left(0.85\right)^t$

Answer

$y=600\left(0.85\right)^t$

Question 7

If $y$ , what is the value of $y=a(0.05)^{\frac{t}{15}}$ ?

Accepted Answer

$y=600\left(0.85\right)^t$

Answer

$y=600\left(0.85\right)^t$

Answer

$y=600\left(0.85\right)^t$

Answer

$y=600\left(0.85\right)^t$

Question 8

A population of $y$ frogs increases at an annual rate of $y=a(0.05)^{\frac{t}{15}}$ . After how many years will the frog's population will be around $a$ ?

Accepted Answer

$y=600\left(0.85\right)^t$

Answer

$y=600\left(0.85\right)^t$

Answer

$y=600\left(0.85\right)^t$

Answer

$y=600\left(0.85\right)^t$

Question 9

What value of x would make the statement correct, $y$ ?

Accepted Answer

$y=600\left(0.85\right)^t$

Answer

$y=600\left(0.85\right)^t$

Answer

$y=600\left(0.85\right)^t$

Answer

$y=600\left(0.85\right)^t$

Question 10

Expand the logarithm: $y$

Accepted Answer

$y=600\left(0.85\right)^t$

Answer

$y=600\left(0.85\right)^t$

Answer

$y=600\left(0.85\right)^t$

Answer

$y=600\left(0.85\right)^t$

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