Decay
Growth
Predictions
Predictions
Analysis
100

The starting price of a Porshe is 100,000. After you drive it out of the lot, the price decreases by 5% every month you drive it. What is this equation?

What is 100,000 x .95^x

100
In 2002, Frisco has a student population of 8,237. For the following 6 years, the population increased about 22% each year. Write the exponential equation that models this growth.
What is 8,237 x 1.22^x
100

In 1980, there are 1.2 million elephants living in Africa. Because the natural grazing lands for the elephant are disappearing due to increased population and cultivation of the land, the number of elephants in Africa has decreased by about 6.8% per year. Write an equation to represent the population of elephants in Africa. In what year did the population of African elephants drop to less then half the number in 1980?

What is 1,200,000 x .932^x, year 4

100
The value of a stock when purchased was $10 a share. The stock grew at a monthly rate of 7%. Find the number of months it took to reach a value of $15.75 a share.
What is between 6 and 7 months
100

The following equation represents the population of minnows in a tide pool y=4*(0.82)x.

What is the decay rate of the minnow population?

What is 18%

200

10 people roll a dice. If they roll a 2 or a 3 they sit down. Then the people that are left standing roll again. Again, if they roll a 2 or a 3 they sit down. What equations represents this problem?

What is 10 x .67^x

200

You go to eBay to buy jewelry for Valentine's Day. The opening bid for the piece of jewelry is $30, but the price increases by 6.7% per bid. Write the exponential equation that models this data.

What is 30 x 1.067^x

200
The starting price of a Porshe is 100,000. After you drive it out of the lot, the price decreases by 5% every month you drive it. What month will the Porshe be worth 77,378?
What is month 5?
200
The value of a stock when purchased is $10 a share. The stock decreased at a rate of 3% daily. Find the number of days it took for the stock to be worth $7.40.
What is 10 days
200

For the following equation:

y=1276(0.2)x

What does 1276 represent?


What is initial value?

300

Our class has 25 people in it. Every person starts with 10 M&M's. All the students dump the M&M's out and if they land with a M up then the student can eat it and take it away. If not, then they place the candy back in the cup and dump them out again. What equation represents this?

What is 250 x .5^x

300
You purchase a Kobe Bryant trading card for $300. The value of the card increases 7% each year. Write the corresponding equation.
What is 300 x 1.07^x
300
10 people roll a dice. If they roll a 2 or a 3 they sit down. Then the people that are left standing roll again. Again, if they roll a 2 or a 3 they sit down. After what round will only one person be standing?
What is between round 5 and 6
300
You go to eBay to buy jewelry for Valentine's Day. The opening bid for the piece of jewelry is $30, but the price increases by 6.7% per bid. What will the price be after 7 bids?
What is $47.24
300

For the following equation:

y=-24(1.22)x

What does 1.22 represent?

What is growth factor?

400

Each year the local country club sponsers a tennis tournament. Play starts with 128 players. During each round, half of the players are eliminated. Write the exponential equation that models this data.

What is 128 x .5^x

400
There are 4521 worms in your garden. Their population increases by 23% every year. Write the corresponding equation.
What is 4521 x 1.23^x
400
Each year the local country club sponsors a tennis tournament. Play starts with 128 participants. During each round, half of the players are eliminated. How many players remain after 5 rounds?
What is 4 players?
400
There are 4521 worms in your garden. Their population increases by 23% every year. How many worms will there be after 14 years?
What is 82,017 worms
400

Friday, June 14th is what holiday?

What is Flag Day?

500

A car sales lot has 750 cars. On the first day, 90 cars were sold. If this percentage continues, write an equation that represents the number of cars left in the lot.

What is 750 x .88 ^x

500
There are 240 rabbits living in the neighborhood. After one year there is 276 rabbits. If the rabbits continue to increase at the same rate, what percent does the rabbit population increase by every year.
What is 15%
500
The population in the town of Huntersville is presently 38,300. The town grows at an annual rate of 1.2%. Find the number of years it takes for the population to grow to 42,500.
What is between 7 and 8 years
500
The NCAA basketball tournament has 64 teams. Every week the number of teams decrease by 50%. How many games does your team need to win in order to make it to the final championship game?
What is 5 games
500

How tall are Smurfs?

What is Three Apples Tall?