Linear Growth vs. Exponential Growth

Question 1

Which graph represents a linear function?

Revolt · Accepted Answer

mc002-3.jpg

Question 2

Margo is given the graph below.What type of graph is shown, and what is the growth factor?

Revolt · Accepted Answer

exponential function; growth factor of 4

Question 3

What is the missing number in the table?x12345y636216???7,776

Revolt · Accepted Answer

1,296

Question 4

The table below represents a function. x12345y116642561,024 Which statement would best describe the graph of the function?

Revolt · Accepted Answer

The graph starts flat but curves steeply upward.

Question 5

The graphs of y = 4x and y = 4x are shown below. In general, how does the growth of y = 4x compare to the growth of y = 4x?

Revolt · Accepted Answer

The function y = 4x is growing faster than y = 4x.

Question 6

Mary creates a table of values for a function and plots the points. She finds that the difference in the y values is the same. What kind of function did she graph?

Revolt · Accepted Answer

linear

Question 7

Which of the following best describes how the y values are changing over each interval?xy1428312416520

Revolt · Accepted Answer

They are increasing by 4 each time.

Question 8

The graph below shows two different deer populations over the same ten year period. Deer PopulationWhich of the following answers is the best description for the deer population with the greatest growth rate:

Revolt · Accepted Answer

The red line demonstrates an exponential growth rate, because the growth rate for the deer population is itself continuously increasing.

Question 9

The table below represents a function. x12345y612182430 Which statement would best describe the graph of the function?

Revolt · Accepted Answer

The graph is a straight line that has a slope of 6.

Question 10

Barry’s Bagel Emporium sells a dozen bagels for $5.00. This price is no longer high enough to create a profit. The owner decides to raise the price. He does not want to alarm his customers with too large of an increase. He is considering four different plans.Plan A: Raise the price by $0.05 each week until the price reaches $8.00.Plan B: Raise the price by 10 percent each week until the price reaches $8.00.Plan C: Raise the price by the same amount each week for 6 weeks, so that in the sixth week the price is $8.00.Plan D: Raise the price by $0.25 each week until the price reaches $8.00.Which plan will result in the price of the bagels reaching $8.00 fastest?

Revolt · Accepted Answer

plan B

Linear Growth vs. Exponential Growth Answers

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