Zoe deposited $3,000 in an account in the Merrick National Bank, earning 4.2% interest, compounded annually. She made no deposits or withdrawals. Write an equation that can be used to find B, her account balance after t years.
Question 2
2.
Graph f(x) = x 2 and g(x) = 2 x
on the set of axes provided over the interval
State which function, f(x) or g(x), has a greater value when x = 20.
Justify your reasoning.
Question 3
3.
The breakdown of a sample of a chemical compound
is represented by the function p(t) = 300(0.5) t ,
where p(t) represents the number of milligrams of the
substance and t represents the time, in years.
In the function p(t), explain what 0.5 represents?
Question 4
4.
The breakdown of a sample of a chemical compound
is represented by the function p(t) = 300(0.5) t ,
where p(t) represents the number of milligrams of the
substance and t represents the time, in years.
In the function p(t), explain what 300 represents?
Question 5
5.
Dylan invested $600 in a savings account at a
1.6% annual interest rate. He made no deposits
or withdrawals on the account for 2 years.
The interest was compounded annually.
Find, to the nearest cent , the balance in the account after 2 years.
Question 6
6.
The number of carbon atoms in a fossil is given
by the function y = 5100(0.95) x , where x represents
the number of years since being discovered.
What is the percent change each year?
Explain how you arrived at your answer.
Question 7
7.
The value, v(t), of a car depreciates according
to the function v(t) = P(.85) t , where
P is the purchase price of the car and t is the time,
in years, since the car was purchased. State the
percent that the value of the car decreases
by each year. Justify your answer.
Question 8
8.
Write an exponential equation for the graph shown.
Question 9
9.
Cole has $10 in his savings account.
Option 1 will add $100 to his account each week.
Write a function in terms of x to model Option 1.
Question 10
10.
Cole has $10 in his savings account.
Option 2 will double the amount in his account
at the end of each week.
Write a function in terms of x to model Option 2.
Question 11
11.
Cole has $10 in his savings account.
Option 2 will double the amount in his account
at the end of each week.
Cole wants to have at least $700 in his account
at the end of 7 weeks to buy a mountain bike.
Determine which option(s) will enable him to
reach his goal. Justify your answer.
Question 12
12.
A population of rabbits in a lab, p(x),
can be modeled by the function
p(x) = 20(1.014) x , where x represents
the number of days since the population
was first counted.
Explain what 20 and 1.014 represent
in the context of the problem.
Question 13
13.
A population of rabbits in a lab, p(x),
can be modeled by the function
p(x) = 20(1.014) x , where x represents
the number of days since the population
was first counted.
Determine, to the nearest tenth ,
the average rate of change from
day 50 to day 100.
Question 14
14.
Josephine collects old dolls.
She purchases a doll for $450.
Research shows this doll's value
will increase by 2.5% each year.
Write an equation that determines the value, V ,
of the doll t years after purchase.
Question 15
15.
Josephine collects old dolls.
She purchases a doll for $450.
Research shows this doll's value
will increase by 2.5% each year.
Assuming the doll's rate of appreciation
remains the same, will the doll's value be
doubled in 20 years? Justify your reasoning.
Question 16
16.
A car was purchased for $25,000.
Research shows that the car has an
average yearly depreciation rate of 18.5%.
Create a function that will determine the value,
V(t), of the car t years after purchase.
Question 17
17.
A car was purchased for $25,000.
Research shows that the car has an
average yearly depreciation rate of 18.5%.
Determine, to the nearest cent,
how much the car will depreciate
from year 3 to year 4.
Question 18
18.
Ryan and Hope are studying the spread of dandelions.
Ryan discovers that the growth over t weeks can be
defined by the function f(t) = (8) 2t .
Calculate the number of dandelions
that Ryan will have after 5 weeks.
Question 19
19.
Ryan and Hope are studying the spread of dandelions.
Hope finds that the growth function over t weeks
is g(t) = 2t + 3 .
Calculate the number of dandelions
that Hope will have after 5 weeks.
Question 20
20.
Ryan and Hope are studying the spread of dandelions.
Ryan discovers that the growth over t weeks can be
defined by the function f(t) = (8) 2t .
Hope finds that the growth function over t weeks
is g(t) = 2t + 3 .
Based on the growth from both functions,
explain the relationship between f(t) and g(t) .
Question 21
21.
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Question 22
22.
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Question 23
23.
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Question 24
24.
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Question 25
25.
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