Answer:
Given an exponential function of the form
y = a*(b)^x
The values of b that will result in the desired percentage values are:
Case 1
b = 23% decrease
1 - 0.23 = 0.77
y = a*(0.77)^x
Case 2
b = 8% increase
1 + 0.08 = 1.08
y = a*(1.08)^x
Case 3
b = 15% decrease
1 - 0.15= 0.85
y = a*(0.85)^x
Case 4
b = 120% increase
1 + 1.2 = 2.2
y = a*(2.2)^x
See attached picture for examples
Answer:
Step-by-step explanation:
The way I figured this out is to just pick some starting values for the grams of this element and plug them into the formula using t = 1 day and seeing how much is left. I chose 2 different starting amounts and came up with the same percentage each time, so it must be correct! Here's what I did:
First I chose a starting amount, a, of 10 grams. Plugging into the formula:
and got that the amount LEFT was 9.5 grams
Then I chose a starting amount, a, of 20 grams. Plugging into the formula:
and got that the amount LEFT was 19 grams.
I then asked the algebraic question,"What percent of 10 is 9.5?" which translates to
x% * 10 = 9.5 and
x = 95% (that's the amount left as a percentage).
and
x% * 20 = 19 and
x = 95%
Since both of those came out the same, that tells me that after 1 day there is still 95% of the element remaining, so 5% decays each day.
Answer:
Step-by-step explanation:
The answer is 0.0625
Hope this helps
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