Decay
Growth
Midpoint
Distance
Writing Exponential Equations
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
The midpoint of (8, −9) and (0, 5).
(4,-2)
100
Distance between (−2, 3) and (−7, −7).
11.2
100
This exponential equation has a y intercept of 5, and passes through the point (1,7).
What is y=5(1.4)^x
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 midpoint of (0, 4) and (−4, −12).
(-2,-4)
200
Distance between (2, −9) and (−1, 4)
13.3
200
The equation with a y intercept of 7 and passing through the point (3,56).
y=7(2)^x
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
The midpoint of (5, 9) and (−1, 9).
(2,9)
300
Distance between (5, 9) and (−7, −7)
20
300
The exponential equation passing through (-1,-2) and (3,-162)
y=-6(3)^x
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
The midpoint of (7, 4) and (9, −1).
(8,1.5)
400
Distance between (−6, −10) and (−2, −10).
4
400
Passes through the points (0,4) and (2,1)
y=4(.5)^x
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 midpoint of (−4, 12) and (−7, −2).
(−5.5, 5)
500
Distance between (−10, −7) and (−8, 1).
8.2
500
Passes though (1,-18) and (3,128).
y=2(4)^x
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