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Cc.a.sse.3: Exponential Equations Worksheet With Answer Key - Regents Exam Questions

Regents Exam Questions

Name: ________________________

CC.A.SSE.3: Exponential Equations

1 The growth of a certain organism can be modeled

by C(t)  10(1.029)

24t

, where C(t) is the total

number of cells after t hours. Which function is

approximately equivalent to C(t) ?

C(t)  240(.083)

24t

C(t)  10(.083)

C(t)  10(1.986)

C(t)  240(1.986)

2 Miriam and Jessica are growing bacteria in a

laboratory. Miriam uses the growth function

f(t)  n

while Jessica uses the function g(t)  n

where n represents the initial number of bacteria

and t is the time, in hours. If Miriam starts with 16

bacteria, how many bacteria should Jessica start

with to achieve the same growth over time?

3 Jacob and Jessica are studying the spread of

dandelions. Jacob discovers that the growth over t

weeks can be defined by the function f(t)  (8)  2

Jessica finds that the growth function over t weeks

t  3

is g(t)  2

. Calculate the number of dandelions

that Jacob and Jessica will each have after 5 weeks.

Based on the growth from both functions, explain

the relationship between f(t) and g(t) .

Cc.a.sse.3: Exponential Equations Worksheet With Answer Key - Regents Exam Questions