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Growth/Decay/Interest
Graphing
100

log2x/y

log2x - log2y

100

logx + logy

log(xy)

100

log17(-2x-1)=log1717

-9

100

The population of foxes in a particular national park is modeled by equation, y = 215(0.94)x, starting in 2004. What does 215 represent?

The initial population of foxes in 2004. 

100

Label the following equation as growth or decay.

 y = 3(2.5)x

Growth

200

log6(xy3)

log6x + 3log6y

200

log23 + 4log2y

log23y4

200

7+log3(-x) = 11

-81

200

The population of foxes in a particular national park is modeled by equation, y = 215(0.94)x, starting in 2004. What does 0.94 represent?

A 6% population decrease.

200

Find the average rate of change using the following two coordinates. 

(0, 2000)(5, 1200)

-160

300

log5(uv3)4

4log5u + 12log5v

300

5lnx - 12lny

ln(x5/y12)

300

16-2x+2 = 8x-2

14/11 or 1.27

300

Maverick has a baseball collection valued at $525. The value increases by 1.2% annually. Create an equation that represents the value, y, of the collection after t years. 

y = 525(1.012)t

300

Describe the transformations of the following equation. 

y = 2x-5 +3

Right 5, up 3

400

log4(34/7)6

24log43 - 6log47

400

9log5x + 3log5y + 3log5z

log5(x9y3z3)

400

206n+7 + 2 = 87

-0.92

400

$1500 is invested into an account that earns 5% interest compounded continuously. Find the balance after 3 years.

$1742.75

400

Find the domain and range of the following equation. 

y = 3x-1 - 2 

Domain = All real numbers

Range = y > -2

500

log3((zx)6/y)2

12log3z +12log3x - 2log3y

500

log9x + 5log9y - 6log9z

log9((xy5)/z6)

500

-7log(6-3n) = -7

-4/3 or -1.33

500

$2000 is invested into an account that earns 5% interest compounded quarterly. Find the balance after 3 years.

$2321.51

500

The following table represents the temperature of soup, y, x minutes after cooked. 

x       y

0      210

    5      200    

10    182

Write the equation that represents the model and find how it takes for the soup to cool to 120 degrees. 

y = 211.60(.99)and 55.93 minutes.