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kingcory717
17.12.2019 •
Mathematics
Po
two students are working on the same problem:
a juice box has 20% more juice in its new packaging. the original packaging held 12
fluid ounces. how much juice does the new packaging hold?
• here is how priya set up her double number line.
12 14.4
juice (fluid ounces) +
100%
120%
140%
0% 20% 40% 60% 80%
here is how clare set up her double number line.
12
juice (fluid ounces)
15
0%
20%
40%
60%
80%
100%
120%
40%
do you agree with either of them? explain or show your reasoning.
Solved
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Ответ:
We need to find the function that represents the exponential decay.
We are given options:
f(x) = 0.6(2)^x
f(x) = 3(0.7)^x
f(x) = 0.4(1.6)^x
f(x) = 20(3)^x.
Standard form of an exponential function is
.
Where a is the initial value and b is the growth or decay factor.
If value of b is less than 1 then it would be an exponential decay.
In the second option we are given f(x) = 3(0.7)^x, the value of b is 0.7.
That is less than 1.
Therefore, f(x) = 3(0.7)^x function shows exponential decay.