SOLUTION: I don't really understand this.. can anyone help me with it? Match the terms with the definitions. 1. y = 1.7 (1.06)x 2. y = 1.7 (0.93)x 3. y = 250 (1.08)x 4. y

Algebra ->  Test -> SOLUTION: I don't really understand this.. can anyone help me with it? Match the terms with the definitions. 1. y = 1.7 (1.06)x 2. y = 1.7 (0.93)x 3. y = 250 (1.08)x 4. y      Log On


   

Question 1047025: I don't really understand this.. can anyone help me with it?
Match the terms with the definitions.
1. y = 1.7 (1.06)x

2. y = 1.7 (0.93)x

3. y = 250 (1.08)x

4. y = 250 (0.925)x
a. rate of growth 6%
b. rate of decay 7%
c. Rate of growth 8%
d. Rate of decay 7.5%
Found 2 solutions by MathLover1, fractalier:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

recall:
Growth:
y=a%281%2Br%29%5Ex+ where r is rate
Decay:
y=a%281-r%29%5Ex++
you have:
1. y+=+1.7+%281.06%29x-> means growth, %281%2Br%29=1.06+ ->1.06=1%2B0.06+ and 0.06is growth rate of 6%
so, this one matches a. rate of growth 6%

2. y+=+1.7+%280.93%29x -> means decay, %281-r%29=0.93+ ->r=1-0.93+ and 0.07is decay rate of 7%

this one matches b. rate of decay 7%

3. y+=+250+%281.08%29x-> means growth, %281%2Br%29=1.08+ and 0.08is growth rate of 8%
so, this one matches
c. Rate of growth 8%

4. y+=+250+%280.925%29x+ -> means decay, %281-r%29=0.925+ ->r=1-0.925+ and 0.075is decay rate of 7.5%

this one matches
d. Rate of decay 7.5%


Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
They match up the way they are listed...
1a, 2b, 3c, 4d
If you look at the factor that each 1.7 or 250 gets multiplied by you can see that the numbers either grow or decay...
I'm thinking the x's should be exponents, corresponding to the years of growth...
For example, look at #3...
y+=+250%281.08%29%5Ex
tells me that the 250 grows .08 or 8% more than once each year...