Exponential Worksheet
8/27/19
Name:
1. If I buy a car for $10,000 and it loses $1000 of value each year, how much is the car worth
each year?
Make a table describing this relationship with values until year 8. Then, write an equation to
describe it.
Year
0
1
Value
10,000
9,000
2
3
4
5
6
7
8
Equation:
2. I buy a car for $10,000. It depreciates (loses value) by 10% each year. How much is the car
worth each year?
Make a table describing this relationship with values until year 8. Then, write an equation to
describe it. (it’s okay if the equation is not quite right yet).
Year
0
1
Value
10,000
9,000
Equation:
2
3
4
5
6
7
8
Exponential Worksheet
8/27/19
Name:
𝐲 = 𝑨(𝟏 + 𝒓)𝒙
General form of an exponential equation
3. Anika has $1000 worth of debt on her credit card. Each year, she is assessed a 15% fee in
interest. Make a table to describe this relationship. Then, write an equation to describe it (should
be in the form as described above).
Year
0
1
2
Value
1000
1150
3
4
5
6
7
8
Equation:
4. Gage bought a new car for $25,000. The car depreciates (decreases in value) by 14%
annually. If he plans to sell the in four years, what will the value of the car be? How much
money has he lost due to depreciation? (side note: this is why I don’t advocate for buying new
cars!)
5. Grace starts saving for her retirement at age 20 and puts away $1000 each year. She earns 10%
interest each year. Make a table describing this relationship.
Year
0
1
Value at
beginning
of year
1000
1100 +
1000
=2100
Value at
end of
year
1000 +
1000*.1
= 1100
2
3
4
5
How much money has she herself put in at the end of the 8 year period?
How much money has she therefore gotten in interest?
6
7
8