exponential function rate of change Consider a function P(x) = 5.4 (1.05)^x a) explain what the 5.4 represents using P(0) = 5.4 also explain what the 1.05^x represents by comparing P(0) = 5.4 (1.05)^0 = 5.4 P(1) = 5.4 (1.05)^1 = 5.4 * 1.05 P(2) = 5.4 (1.05)^2 = 5.4 * 1.05^2 b) Find the (Delta) P, the change in populatiion between P(4) and P(5) {i.e. (Delta) P = P(5) - P(4) } What is the percent change? How does this relate to the 1.05 in the equation? Find the (Delta) P, the change in populatiion between P(8) and P(9) {i.e. (Delta) P = P(9) - P(8) } What is the percent change? How does this relate to the 1.05 in the equation? c) What will be the percent change from P(a) to P(a+1) [It is the same for any value of a] If P(a) = 115, find P(a+1) and P(a+2)
exponential function rate of change
Consider a function P(x) = 5.4 (1.05)^x
a) explain what the 5.4 represents using P(0) = 5.4
also explain what the 1.05^x represents by comparing
P(0) = 5.4 (1.05)^0 = 5.4
P(1) = 5.4 (1.05)^1 = 5.4 * 1.05
P(2) = 5.4 (1.05)^2 = 5.4 * 1.05^2
b) Find the (Delta) P, the change in populatiion between
P(4) and P(5)
{i.e. (Delta) P = P(5) - P(4) }
What is the percent change? How does this relate to the 1.05 in the equation?
Find the (Delta) P, the change in populatiion between
P(8) and P(9)
{i.e. (Delta) P = P(9) - P(8) }
What is the percent change? How does this relate to the 1.05 in the equation?
c) What will be the percent change from P(a) to P(a+1)
[It is the same for any value of a]
If P(a) = 115, find P(a+1) and P(a+2)
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