Question 1

What does the $a$ in $y=ab^x$ represent?

Accepted Answer

y-intercept

Answer

slope

Answer

x-intercept

Answer

growth/decay

Question 2

What does the $b$ in $y=ab^x$ represent?

Accepted Answer

growth/decay

Answer

y-intercept

Answer

x-intercept

Answer

slope

Question 3

What value of $b$ in the equation $y=ab^x$ would result in exponential growth?

Accepted Answer

Greater than 1

Answer

Less than 1

Question 4

What value of $b$ in the equation $y=ab^x$ would result in exponential decay?

Accepted Answer

Less than 1

Answer

Greater than 1

Question 5

A population of 500 elk is released in a wildlife preserve. Each year, the population grows by 6.4%. Let x stand for the number of years since the release, and let y stand for the elk population. Write an exponential equation that relates x and y, using the given information.

Accepted Answer

$y=500(1.064)^x$

Answer

$y=500x+.064$

Answer

$y=500(.064)^x$

Answer

$y=6.4x+500$

Question 6

You purchase a computer for the prices of $5,000.  Every year the value of the computer decreases by 12%.  Write an exponential equation that represents this situation.

Accepted Answer

$y=5,000(.88)^x$

Answer

$y=.88x+5,000$

Answer

$y=5,000(1.12)^x$

Answer

$y=5,000(.12)^x$

Question 7

The population of the city of Pearville, y, is decreasing according to the mathematical model $y=160,500(.76)^x$, where x is the number of years.   What is the starting population value?

Accepted Answer

160,500

Answer

1000

Answer

76

Answer

0

Question 8

What is the domain of the exponential decay function?

Accepted Answer

All real numbers

Answer

$y<0$

Answer

$x<0$

Answer

$x>0$

Question 9

What is the range of the exponential decay function?

Accepted Answer

$y>0$

Answer

All real numbers

Answer

$y<0$

Answer

$x>0$

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