What is the approximate percent decrease when a fish count goes down from 850 to 500? The percent decrease is approximately 40%.
2 answers:
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5)
The x-values go up by 1: -2, -1, 0, 1, 2
The y values are always 3 times the previous value.
This is an exponential function.
We need to find a and b.
Look at x = 0.
For x = 0, y = 4.
Since b^0 = 1, this simplifies to
Now we know a = 4. We have
Look at x = 1. For x = 1, y = 12.
Now that we know a and b, we can write the function.
Now that you have the function written out, notice the following.
In the exponential equation we found, the number raised to x
is the number you multiply each y value to get the next y value.
In this case, each y value is 3 times the previous one, so you have 3^x.
The way you find "a" in the exponential equation is to look at the y-coordinate
when x = 0. When x = 0, b^x is 1, so b^x drops out, and you get "a" equal to
the y-value. In this case, when x = 0, y = 4, so "a" is 4.
With b = 3, and a = 4, you can quickly write:
y = 4(3)^x.
The x-values go up by 1: -2, -1, 0, 1, 2
The y values are always 3 times the previous value.
This is an exponential function.
We need to find a and b.
Look at x = 0.
For x = 0, y = 4.
Since b^0 = 1, this simplifies to
Now we know a = 4. We have
Look at x = 1. For x = 1, y = 12.
Now that we know a and b, we can write the function.
Now that you have the function written out, notice the following.
In the exponential equation we found, the number raised to x
is the number you multiply each y value to get the next y value.
In this case, each y value is 3 times the previous one, so you have 3^x.
The way you find "a" in the exponential equation is to look at the y-coordinate
when x = 0. When x = 0, b^x is 1, so b^x drops out, and you get "a" equal to
the y-value. In this case, when x = 0, y = 4, so "a" is 4.
With b = 3, and a = 4, you can quickly write:
y = 4(3)^x.
The function f(x) = 4(4)x represents the growth of a fly population every year in a remote swamp.
calculates three times a year, not just once a year.
3 times a year
so x becomes 3x
Take log on both sides
Use log property and move exponent before log
Divide both sides by x
log 4 = 3 log(1+r)
Solve for '1+r'
log 4 = log(1+r)^3
Remove log from both sides
4 = (1+r)^3
take cube root on both sides
1.584740= 1+r
1+r = 1.59
so equation becomes
1+r = 1.59
subtract 1 from both sides
So r= 59 = 59%
So growth factor is 59%
Answer is option C