# linear vs exponential comparison table and graphs

```Name____________________________________Section __________
Linear vs Non Linear
John has \$10. He saves \$5 each week.
Complete the table and the graph to
show the amount of money John will
have at the end of 10 weeks.
Weeks
0
1
2
3
4
5
6
7
8
9
10
Graph John’s Savings. Be sure to give
Money (dollars)
10
15
20
What is the independent variable?
____________________
What is the dependent variable?
__________________
Describe the change in John’s money
from week to week.
Does the change in money indicate
What is John’s starting amount?
Describe the look of the graph, namely,
is it linear or non linear? Does it
increase or decrease?
The equation of a linear equation will
always look like this:
y = change(x) + start amount
The equation of an exponential function
will look like
Y = start amount(growth factor)x
Where y is the dependent variable and x
is the independent variable.
____________________
John has \$.01 (one penny) He has 5
times the previous weeks’ amount each
week.
Complete the table and the graph to
show the amount of money John will
have at the end of 10 weeks.
Weeks
0
1
2
3
4
5
6
7
8
9
10
Graph John’s Savings. Be sure to give
Money (dollars)
.01
.05
.25
1.25
What is the independent variable?
____________________
What is the dependent variable?
__________________
Describe the look of the graph, namely,
is it linear or non linear? Does it
increase or decrease?
Describe the change in John’s money
from week to week.
The equation of a linear equation will
always look like this:
y = change(x) + start amount
Does the change in money indicate