Linear Modeling

Alyssa 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 function that represents the height of the plant. 

Joe was on a diet. He weighed 260 pounds. He lost 4 pounds per month.

Write a linear function that represents Joe's weight after "m" months.

Mackenzie opens a savings account with $350. She saves $150 per month.

Assuming she doesn't withdraw any money, write a linear equation that represents the total amount of money that Mackenzie deposits into her account after "m" months.

The population of Manomet is 35,000 today. Every year the population of Manomet increases by 750 people.

Write a linear function that represents the population of Manomet "x" years from today.

Ryan has $25,000 in his bank account. Every month he spends $1500. He does not add any money to his account.

Write a linear function that represents how much money will be in his account after "x" months.

Ben's cell phone plan costs $30 per month for unlimited calling plus 15 cents per text message.

Write a linear function that represents his monthly cost of this cell phone plan if the user sends "t" text messages.

Mr. Burgess has x books that weigh 2 pounds each and y books that weigh 3 pounds each. The total weight of her books is 60 pounds.

Write a linear function that relates the number of 2-pound books to the number of 3-pound books that Mr. Burgess has.