Graded Assignment Math Template

Math | Graded Assignment | Unit Test, Part 2 | Exponential Functions

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Math | Graded Assignment | Unit Test, Part 2 | Exponential Functions

Graded Assignment

Unit Test, Part 2: Exponential Functions

Answer the questions below. When you are finished, submit this test to your teacher for full credit.

Total score: ____ of 15 points

(Score for Question 1: ___ of 5 points)

1. Henrietta did an experiment. She started out with 800 bacteria cells. She found that the growth rate of the bacteria cells was 3.2%. Sketch the graph that represents the situation. Label the y-intercept and the point that represents the projected bacteria population 35 h from the time Henrietta started the experiment.

Answer:

(Score for Question 2: ___ of 4 points)

2. The table shows a linear function.

x / / / / / / 0 / 1 / 2 / 3 /
/ / / 5 / 13 / 21 / 29 / 37 / 45 / 53

(a) Determine the difference of outputs of any two inputs that are 1 unit apart. Show your work.

(b) Determine the difference of outputs of any two inputs that are 2 units apart. Show your work.

(d) What do you notice about the ratios of the differences in the outputs to the input intervals? Explain your answer.

Answer:

(Score for Question 3: ___ of 6 points)

3. The function represents the number of specialty items produced at the old factory w weeks after a change in management. The graph represents the number of specialty items produced at the new factory during the same time period.

(a) During Week 0, how many more specialty items were produced at the old factory than at the new factory? Explain.

(b) Find and compare the growth rates in the weekly number of specialty items produced at each factory. Show your work.

(c) When does the weekly number of specialty items produced at the new factory exceed the weekly number of specialty items produced at the old factory? Explain.

Answer: