Equations/Graphs
Growth & Decay
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Sequences
100
Write a function to model the following:
p(t) = 350,000(1.021)^t
100
Growth or decay? Justify your answer.
Decay because
0 < b < 1
100
Use the following table to find the equation for exponential regression. Round to 3 decimal places.
f(x) = 459,604.622(0.925)^x
100
Write an equation to represent the following sequence using K = 0.
a(n) = -72 + 15n
200
Write an equation to model the function:
c(d) = 3(2)^(d/14)
200
Growth or decay? Justify your answer.
Growth, because
b > 1
200
How many followers will they have after 12 months? (round to the nearest whole number)
179,498
200
Write an equation to represent the following sequence using K = 0.
g(n) = -54(1/3)^n
300
Find f(g(2)):
f(g(2)) = 2
300
Growth or decay? Indicate the percent increase or decrease. Justify your answer.
Decay. 1.5% decrease because 1 - 0.985 = 0.015
300
Estimate when there will be 100,000 followers (round to the nearest whole number)
~19-20 months.
300
Write an equation to represent the following sequence.
g(n) = 128(8)^(n-4)
400
Write an equation to represent the following:
f(x) = 3(4)^x + 1
400
Growth or decay? Indicate the percent increase or decrease. Justify your answer.
Growth. 51.6% increase because 1.516 - 1 = 0.516.
400
Use the following table to find the equation for exponential regression. Round to 3 decimal places.
f(x) = 3.771(1.056)^x
400
I & III