GeniallyLand Exponential Functions

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Exponential Functions

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SHOOT THE CLOWN!

Answer the exponential growth and decay questions correctly and throw the clown into the water five times to earn your reward.

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1/5

A population of 1200 deer decreases by 3% per year. At the end of 10 years, there will be approximately 885 deer in the population. Which function can be used to determine the number of deer, y, in this population at the end of t years?

y=1200(0.03)^t

y=1200(1+0.03)^t

y=1200(1-0.03)^t

1/5

Right! GREAT JOB!!

Next

2/5

If you were going to save to go to the University of Texas and you put $500 in a bank account that will be increasing by 14% each year, write a function to determine the amount of money saved, y, in your bank account at the end of x years.

y=500(.86)^x

y=500(1.14)^x

y=500(1.4)^x

2/5

Right! Keep going!

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3/5

An alien’s change in height is represented by the function f(x)=4(3)^x. Which of the following COULD be TRUE about this situation based on the alien’s height function over x time?

The alien is originally 3 feet tall and his height is increasing by a factor of 4.

The alien is originally 4 feet tall and his height is decreasing by a factor of 3.

The alien is originally 4 feet tall and his height is increasing by a factor of 3.

3/5

Right! Almost there!

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4/5

In 1985, there were 285 cell phone subscribers in the small town of Centerville. The number of subscribers increased by 75% each year after 1985.

y = 285(0.25)^x

y = 285(1.75)^x

y = 285(0.75)^x

4/5

Right! One more!!

Next

5/5

Anna opened up a savings account with $2,000. The account acquires 85% interest annually.

y = 2000(1.85)^x

y = 2000(0.85)^x

y = 2000(0.15)^x

5/5

Right! YAY!!

Reward!

Try again!

You have won your first stuffed animal

Next challenge!

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ARE YOU SURE?

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MIRROR LABYRINTH

Which image is the real one?Choose well and get to your reward!

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1/5

Which graph matches y=2(3)^x

2/5

Which graph matches y= 8(1/2)^x

3/5

Which graph matches y=2^x

4/5

Which table matches y=3(1/3)^x

5/5

Which table matches y=4(2)^x

You have won your second stuffed animal

Next challenge!

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HORSE RACE

Start

Answer correctly before the time runs out and make your horse reach the finish line first!

1/5

Which equation is exponential decay?

YOU

y = 1/2(2)^x

y = 2 (1/2)^x

y = 3(-2)^x

Try again!

1/5

Wrong!

Try again!

2/5

Which equation is exponetial growth?

YOU

y = 2(1/2)^x

y = 3(-2)^x

y = 2(2)^x

Try again!

2/5

Wrong!

Try again!

3/5

Which following table is exponential?

YOU

Try again!

3/5

Wrong!

Try again!

4/5

What equation matches: Starting with $5 and tripling every day?

YOU

y = 5(3)^x

y = 3(5)^x

y = 5(1/3)^x

Try again!

4/5

Wrong!

Try again!

5/5

Which situation is exponential?

YOU

On Thanksgiving I put up 3 decorations. Each day, I double decorations that I put up.

On Thanksgiving I put up 3 decorations. Each day, I add 5 decorations.

On Thanksgiving I put up 3 decorations. Each day, I added 1 more than the previous day.

Try again!

5/5

Wrong!

Try again!

You have won your third stuffed animal

Next challenge!

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THE HOUSE OF TERROR

Try to find the answer withoutstumbling on any scary surprises!

Enter

When the Oakdale Christamas Tree farm first started, they planted 5 trees. Each year they planted 1.5 times more trees. After how many years would the farm have more than 3000 trees?

1/5

14 years

15 years

10 years

12 years

8 years

16 years

Drag the halo of light!

Karen bought her daughter a car for Christmas. The car cost $22,500. The value of the car decreases by 25% each year. What is the value of the car after 3 years?

2/5

$9,492.19

$11,520

$12,856.03

$8,967.26

$10,523.21

$351.56

In August, 200 people had purchased Turkeys at Tom Thumb. Each month, that number increased by 10%. In what month had the number sold passed 300?

3/5

November

October

January

May

March

February

A magical tree was planted at 24 inches tall. Each year the tree grows 1.8 times bigger. After how many years will the tree be taller than 20 feet?

4/5

4 years

8 years

2 years

1 year

3 years

10 years

When you eat turkey, you ingest about 300 mg of Tryptophan, the amino acid that is blamed for making you drowsy. If the amount of Tryptophan in your system decreases by half every hour, how many hours would it take to get down to less than 50 mg in your system?

5/5

3 hours

7 hours

4 hours

9 hours

1 hour

5 hours

6 hours

You have won your fourth stuffed animal

Congratulations!

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