Algebra Review Unit 8

Scientists studied a deer population for 10 years. They generated the function  $f\left(x\right)=248\left(1.15\right)^x$ to approximate the number of deer in the population x years after beginning the study. About how many deer are in the population 3 years after beginning the study? 

• 251

• 377

• 856

• 1,003

Yui makes a list of the balances in her savings account at the end of each month. She notices that each month's total is 5% greater than the previous month's total. She writes a recursive formula to describe the account balances.

Which value should she use as the common ratio?

• 5.0

• 1.05

• 0.5

• 0.05

Which formula can be used to describe the sequence?

1.2, 3, 7.5, 18.75

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What is the common ratio of the sequence?

-2, 6, -18, 54, ...

• -3

• -2

• 3

• 8

Which table shows exponential decay?

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Which equation represents an exponential function with an initial value of 500?

• $f\left(x\right)=100\left(5\right)^x$

• $f\left(x\right)=100\left(x\right)^5$

• $f\left(x\right)=500\left(x\right)^2$

• $f\left(x\right)=500\left(2\right)^x$

Which is the graph of  $f\left(x\right)=\frac{1}{4}\left(4\right)^x$ ?

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The table shows the estimated number of lines of code written by computer programmers per hour when x people are working. Which model best represents the data?

• $y=47\left(1.191\right)^x$

• $y=34\left(1.204\right)^x$

• $y=27x-4$

• $y=26.9x-1.3$

The graph shows the best-fit regression model for a set of data comparing the number of hours spent hiking and the number of miles traveled in one day. Which is most likely true of the data set represented by the regression model on the graph?

• Each point in the data set falls on the regression line.

• The regression model is an accurate representation of the distance for any number of hours hiked.

• Each point in the data set is near the regression line.

• The regression model is inaccurate, as it does not begin at (0, 0).