Tim's Savings and Linear Functions

Tim discovers an old piggy bank and decides to save $57 monthly for a vacation. The video explains how to model this savings plan using a linear function, calculate the initial amount in the piggy bank, and determine how long it will take to reach a savings goal of $649. The process involves understanding linear functions, calculating initial savings, formulating the linear equation, and solving for the time needed to achieve the savings target.

How much money does Tim deposit into his piggy bank each month?

• $60

• $57

• $65

• $50

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What is the total amount Tim has in his piggy bank after three months?

• $171

• $210

• $193

• $200

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What does the slope represent in the context of Tim's savings?

• Interest rate

• Total savings

• Monthly deposit

• Initial savings

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What is the vertical intercept in the linear function for Tim's savings?

• $0

• $22

• $57

• $193

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How much money did Tim have in the piggy bank before he started making deposits?

• $0

• $22

• $57

• $193

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What is the linear equation that models Tim's savings?

• s(t) = 22t - 57

• s(t) = 57t - 22

• s(t) = 22t + 57

• s(t) = 57t + 22

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What is the value of 't' when Tim has saved $649?

• 12

• 9

• 10

• 11

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How long will it take Tim to save enough for his vacation?

• 11 months

• 12 months

• 10 months

• 9 months

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What is the ordered pair representing the time and savings when Tim has enough for his vacation?

• (9, 649)

• (10, 649)

• (11, 649)

• (12, 649)

What is the total cost of Tim's vacation?

• $750

• $649

• $600

• $700