The event coordinator asks you to determine how many students participated in the track-and-field day. The total number of stude
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Answer:
a) 600
b) see below
c) 1.26 hours
Step-by-step explanation:
a) The value of y when x=0 is the coefficient of the exponential term:
y = 600·3^(-0) = 600·1 = 600
There were 600 atoms to start.
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b) see attached for a graph
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c) The graph shows 150 atoms at t = 1.26, about 1.26 hours after the start of time counting.
If you want to find that value algebraically, substitute for y and solve for x. Logarithms are involved.
150 = 600·3^(-x)
150/600 = 3^(-x)
log(1/4) = -x·log(3)
x = -log(1/4)/log(3) = log(4)/log(3) ≈ 1.2618595
After about 1.26 hours, there were 150 atoms.
Answer:
Step-by-step explanation:
The lion population in a certain reserve drops by 5\%5%5, percent every year. Currently, the population's size is 200200200.
Write a function that gives the lion population size,
Each year, the population drops to 95% of its previous value. (100 - 5)%
That is, the population is multiplied by 0.95 each year.
Repeated multiplication is signified by an exponent.
Here, that exponent is the number of years from today (t).
<h3>There fore, The population function can be written as ...</h3><h3 /><h3> P(t) = 200·0.95^t</h3><h3>