Unit 7 Exponential Functions Test

What type of function is modeled by the table?

• Linear

• Absolute Value

• Exponential Growth

• Exponential Decay

• Cube Root

The following scenario represents which type of function?

"Due to a lack of natural predators in a suburban area, the coyote population, which is currently at about 200, is expected to triple every decade"

• Linear

• Absolute Value

• Quadratic

• Exponential Growth

• Exponential Decay

Is the exponential function graphed above an example of growth or decay?

• growth

• decay

Classify the following function as a growth or decay.

 $y\ =\ \frac{1}{3}\cdot5^x$ 

• growth

• decay

• neither

• linear

The population of a small town has been increasing at 1.5% due to an economic boom in the area. The population was 7,650 in 1995. Write an equation to represent the population increase after x amount of years.

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The current student population of the Brentwood Student Center is 2,000. The enrollment at the center increases at a rate of 4% each year. To the nearest whole number, what will the student population be closest to in 3 years?

• 2000(1+.04)^x; 2,240

• 2000(1+.04)^x; 2,250

• 2000(1+.4)^x; 5,488

• 2000(1-.04)^x; 1,769

The New York Volleyball Association invited 64 teams to compete in a tournament. After each round, half of the teams were eliminated. Which equation represents the number of teams, t, that remained in the tournament after r rounds.

• $t=64\left(r\right)^{0.5}$

• $t=64\left(-0.5\right)^r$

• $t=64\left(1.5\right)^r$

• $t=64\left(0.5\right)^r$

The student enrollment of a high school was 1250 in 2000. Less students started to enroll every year after that at a rate of about 1%. Write an equation to show the enrollment at this highschool after x amount of years.

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You inherited some land from your late grandfather. The land was purchased in 1950 for $40,000. The land increased in value by 4% per year since it was purchases. How much is the land worth in 2019.

• $404,601

• $420,785

• $84,274

• $598,908

You bought a new car for $18,500 for your 16th birthday. The car will decrease in value at a rate of 5.6% per year. How much will your car be worth by the time you turn 20?

• $13,868.60

• $14,691.30

• $23,005.30

• $24,293.60