Answers Common Core Algebra I - B-CR .5 HIDOE MAX1175Exponential Growth Functions

Exponential Growth Functions Answers

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Which equation represents an exponential function that passes through the point (2, 80)?

f(x) = 4(x)5

f(x) = 5(x)4

f(x) = 4(5)x

f(x) = 5(4)x

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On a coordinate plane, an exponential growth function approaches y = 0 in the second quadrant and goes through points (negative 1, 0.8), (0, 2), (1, 5), (2, 12.5).

2.00

2.50

5.25

10.50

Geraldine is asked to explain the limits on the range of an exponential equation using the function f(x) = 2x. She makes these two statements:1. As x increases infinitely, the y-values are continually doubled for each single increase in x.2. As x decreases infinitely, the y-values are continually halved for each single decrease in x.

Statement 1 is incorrect because the y-values are increased by 2, not doubled.

Statement 2 is incorrect because the y-values are doubled, not halved.

The conclusion is incorrect because the range is limited to the set of integers.

The conclusion is incorrect because the range is limited to the set of positive real numbers.

Which best describes the graph of the function f(x) = 4(1.5)x?

The graph passes through the point (0, 4), and for each increase of 1 in the x-values, the y-values increase by 1.5.

The graph passes through the point (0, 4), and for each increase of 1 in the x-values, the y-values increase by a factor of 1.5.

The graph passes through the point (0, 1.5), and for each increase of 1 in the x-values, the y-values increase by 4.

The graph passes through the point (0, 1.5), and for each increase of 1 in the x-values, the y-values increase by a factor of 4.

Which is the graph of f(x) = 5(2)x?

On a coordinate plane, an exponential growth function approaches y = 0 in the second quadrant and goes through points (0, 5) and (2, 20).

On a coordinate plane, an exponential growth function approaches y = 0 in the second quadrant and goes through points (0, 2) and (2, 50).

On a coordinate plane, an exponential growth function approaches y = 0 in the second quadrant and goes through points (0, 2) and (2, 10).

On a coordinate plane, an exponential growth function approaches y = 0 in the second quadrant and goes through points (0, 5) and (2, 10).

An account with a $250 balance accrues 2% annually. If no deposits or withdrawals are made, which graph can be used to determine approximately how many years will it take for the balance to be $282?

Option

A collector’s item is purchased for $150 and its value increases by 3% each year. Which graph can be used to determine approximately how many years it will take for the value to double?

Option

After years of maintaining a steady population of 32,000, the population of a town begins to grow exponentially. After 1 year and an increase of 8% per year, the population is 34,560. Which equation can be used to predict, y, the number of people living in the town after x years? (Round population values to the nearest whole number.)

y = 32,000(1.08)x

y = 32,000(0.08)x

y = 34,560(1.08)x

y = 34,560(0.08)x

A growth medium is inoculated with 1,000 bacteria, which grow at a rate of 15% each day. What is the population of the culture 6 days after inoculation?

y = 1,000(1.15)6; 2,313 bacteria

y = 1,000(1.15)7; 2,660 bacteria

y = 1,000(1.5)5; 7,594 bacteria

y = 1,000(1.5)6; 11,391 bacteria

Which graph shows exponential growth?

On a coordinate plane, a parabola opens up with vertex at (0, 0).

On a coordinate plane, a curve approaches y = 0 in quadrant 2 and curves up into quadrant 1.

On a coordinate plane, a straight line with positive slope crosses the y-axis at (negative 1, 0) and crosses the y-axis at (2, 0).

On a coordinate plane a curve opens down and to the right in quadrants 1 and 4. It crosses the x-axis at (1, 0).

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Exponential Growth Functions Answers

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