Linear Modeling

Linear Modeling

Week of 11/2-11/6

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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. 

Poll

What will the height of the plant be after 20 days?

• 25 cm

• 40 cm

• 35 cm

• 55 cm

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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.

Poll

Find the number of months that it took Joe to reach his goal weight of 220 pounds.

• 10 months

• 5 months

• 8 months

• 16 months

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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.

Poll

After how many months will Mackenzie have more than $2000?

• after 17 months

• after 10 months

• after 5 months

• after 11 months

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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.

Poll

In approximately how many years will the population of Manomet exceed 50,000 people?

• after 15 years

• after 20 years

• after 25 years

• after 30 years

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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.

Poll

How much money will Ryan have in his account after 8 months?

• $17,000

• $11,500

• $13,000

• $10,000

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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.

Poll

If Ben sends 200 text messages to his mom asking to dog sit and asking to call in sic to work at McDonald's, how much would he have to pay according to his cell phone plan?

• $75

• $60

• $55

• $80

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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.

Poll

If Mr. Burgess has 10 3-pound books, find the number of 2-pound books that he has.

• 15

• 12

• 17

• 20