Writing Linear Functions
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Write an equation using the following table:
State Park
Mark recently moved to a new state. During the first month, he visited five state parks.
Each month after, he visited two more. Complete the table then write an equation that
represents this situation.
Equation: _________________________________
Roses
The table below shows the price for the number of roses indicated.
Number of roses
3
6
9
12
15
Price (Dollars)
9
18
27
36
45
Equation: __________________________________________
Find the cost of purchasing 30 roses.
Machine Salesperson
A machine sales person earns a base salary of $40,000 plus a commission of $300 for
every machine he sells. Write an equation that shows the total amount of income the
sales person earns, if he sells x machines in a year.
Equation: _____________________________
Writing Linear Functions
Lin
Lin is tracking the progress of her plant’s growth. Today the plant is 5 cm high. The
plant grows 1.5 cm per day. Write a linear model that represents the height of the plant
after d days.
Equation: _____________________________
What will the height of the plant be after 20 days?
Mr. Thompson
Mr. Thompson is on a diet. He currently weighs 260 pounds. He loses 4 pounds per
month. Write a linear model that represents Mr. Thompson’s weight after m months?
Equation: _____________________________
After how many months will Mr. Thompson reach his goal weight of 220 pounds?
Julia
Julia has been measuring the length of her baby’s hair. The first time it was 6 cm long
and after one month it was 1 cm longer. If the hair continues to grow at this rate,
determine the function that represents the hair growth.
Equation: _____________________________
Jacob
When Jacob digs the Earth’s temperature rises as he digs deeper. He digs the Earth 5
meters down and the temperature of the material is 8°C. For every 5 meters the
temperature rises a constant 8 °C. If the temperature continues to rise at this rate,
determine the function that represents this relationship.
Equation: _____________________________
Writing Linear Functions
Name: ___________________________________
Algebra I CC
Date: ______
Exit Ticket
Paul opens a savings account with $350. He saves $150 per month. Assume that he
does not withdraw money or make any additional deposits. Write a linear model that
represents the total amount of money Paul deposits into his account after m months.
Equation: __________________________
After how many months will Paul have more than $2000?
Name: ___________________________________
Algebra I CC
Date: ______
Exit Ticket
Paul opens a savings account with $350. He saves $150 per month. Assume that he
does not withdraw money or make any additional deposits. Write a linear model that
represents the total amount of money Paul deposits into his account after m months.
Equation: __________________________
After how many months will Paul have more than $2000?
Writing Linear Functions
Name: ___________________________________
Algebra I CC
Date: ______
HW #
1. Lucas read three books last month. The table shows the number of pages in each
book and the length of time it took to read the entire book.
Equation:
______________________________
2. The population of Bay Village is 35,000 today. Every year the population of Bay
Village increases by 750 people. Write a linear model that represents the
population of Bay Village x years from today.
Equation: _______________________________
In approximately how many years will the population of Bay Village exceed 50,000
people?
3. Conner has $25,000 in his bank account. Every month he spends $1500. He does
not add money to the account. Write a linear model that shows how much money
will be in the account after x months.
Equation: ______________________________
How much money will Conner have in his account after 8 months?
4. A cell phone plan costs $30 per month for unlimited calling plus $0.15 per text
message. Write a linear model that represents the monthly cost of this cell phone
plan if the user sends t text messages.
Equation: _______________________________
If you send 200 text messages, how much would you pay according to this cell
phone plan?
Review:
5. Solve for the missing variable: 3(x + 1) – x = 18