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Exponential vs Linear

Total questions: 6

Worksheet time: 4mins

Name
Class
Date
1.

A botanist compares the height of a type of plant in two different growing areas. The results are shown in the table.

Select TWO true statements for Area 1 and Area 2

a)

Area 1 is exponential and Area 2 is linear

b)

Area 1 is linear and Area 2 is exponential

c)

Area 1 grows by a constant percent rate and Area 2 grows by a constant rate

d)

Area 1 grows by a constant rate and Area 2 grows by a constant percent rate

2.

The table shows the the value of a stock that is increasing.

What's true about the table?

a)

The table is growing by equal factors over equal intervals therefore it is a linear function

b)

The table is growing by equal differences over equal intervals therefore it is an exponential function

c)

The table is growing by equal factors over equal intervals therefore it is an exponential function

d)

The table is growing by equal differences over equal intervals therefore it is a linear function

3.

Which table is growing by a fixed percent rate?

a)

Table A because it is exponential

b)

Table A because it is linear

c)

Table B because it is exponential

d)

Table B because it is linear

4.

Click the circle for all the situations that are exponential

5.

The table shows the value of house, f(x), after x years. Which statement is true about the value of the house?

a)

The value of the house is increasing by $3,850 each year

b)

The value of the house is decreasing by $3,850 each year

c)

The value of the house is decreasing by approximately 234%2\frac{3}{4}\% each year

d)

The value of the house is increasing by approximately 234%2\frac{3}{4}\% each year

6.

The table shows the height of a flower for five consecutive weeks after it was planted.

Which function represents the situation modeled in the table?

a)

The exponential function y=(12)x+3y=\left(\frac{1}{2}\right)^x+3 because the tables grows by equal factors

b)

The linear function y=12x+3y=\frac{1}{2}x+3 because the table grows by equal factors

c)

The exponential function y=(12)x+3y=\left(\frac{1}{2}\right)^x+3 because the tables grows by equal differences

d)

The linear function y=12x+3y=\frac{1}{2}x+3 because the table grows by equal differences