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Fields: Algebra 1 Exponential Functions Check

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Last updated 2 days ago
17 questions
Required
1
F.IF.7.e
F.LE.1.c
Required
1
F.IF.7.a
F.LE.1.b
Required
1
F.IF.7.a
F.LE.1.b
Required
1
F.IF.7.e
F.LE.1.c
Required
1
F.LE.1.b
F.LE.2
Required
1
F.LE.1.c
F.LE.2
Required
1
F.LE.1.c
F.LE.2
Required
1
F.LE.1.b
F.LE.2
Required
0
Question 1
1.

Question 2
2.

Question 3
3.

Question 4
4.

Question 5
5.

Question 6
6.

Question 7
7.

Question 8
8.

Required
1
Required
1
Required
0.5
Required
0.5

A cup of drip-brewed coffee has about 115 milligrams of caffeine in it. Each hour after ingestion, 25% of the caffeine is metabolized and 75% of the caffeine remains. Choose an equation to model the milligrams of caffeine "y" as a function of the hours of time "x" and use it to solve problems.

Required
1
Required
1

A stock index has a total value of $315.45. Each month the value of the stock index increases by 7.5%. Choose an equation to model the dollar value "y" of the stock index as a function of the months of time "x" and use it to solve problems.

Required
2
F.LE.2
Required
1
Question 17
17.

Which answer choice best describes the graph of the following function?

Linear Increase
Linear Decrease
Exponential Growth
Exponential Decay
Answer not shown/none of the above
Which answer choice best describes the graph of the following function?

Linear Increase
Linear Decrease
Exponential Growth
Exponential Decay
Answer not shown/none of the above
Which answer choice best describes the graph of the following function?

Linear Increase
Linear Decrease
Exponential Growth
Exponential Decay
Answer not shown/none of the above
Which answer choice best describes the graph of the following function?

Linear Increase
Linear Decrease
Exponential Growth
Exponential Decay
Answer not shown/none of the above
Match the graph with the correct equation.

Match the graph with the correct equation.

Match the graph with the correct equation.

Match the graph with the correct equation.

You are given the following contract offers based on each of the functions with x representing years of work and y representing your salary in dollars:

Contract A:

Contract B:

Interpret each contract & use the graph to explain why each contract would be preferred.
Question 9
9.
The equation
for Contract A indicates that the salary in the 1st year will be __________ and that each year of work will earn a __________ raise.
Question 10
10.
The equation
for Contract B indicates that the salary in the 1st year will be __________ and that each year of work will earn a __________ raise.
Question 11
11.
Contract A (in RED on the graph) is preferable if you work for __________
Question 12
12.
Contract B (in BLUE on the graph) is preferable if you work for __________
Question 13
13.

Question 14
14.

Using your equation above, how many milligrams of caffeine will remain 5 hours after ingestion given that 115 milligrams of caffeine is drank and that each hour after ingestion, 25% of the caffeine is metabolized and 75% of the caffeine remains (round to the nearest tenth of a milligram)?

Question 15
15.

Question 16
16.

After how many months would the stock index with a value of $315.45 growing in value by 7.5% per month 1st be doubled in value (round answer up to the nearest whole month)?

Extra Credit

A) 4
B) 5
C) 36
D) 64
Choose the equation that models the milligrams of caffeine "y" as a function of the hours of time "x" given that 115 milligrams of caffeine is drank and that each hour after ingestion, 25% of the caffeine is metabolized and 75% of the caffeine remains.
Choose an equation to model the dollar value "y" of a stock index as a function of the months of time "x" with given that the stock index has a value of $315.45 and is growing in value by 7.5% per month.