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Strengths and Limitations of Models

Interactive practice questions

Every week, Rochelle deposits $\$800$$800 into a savings account. She plots her accumulated savings over several weeks.

Loading Graph...

Would a linear model accurately describe Rochelle’s savings after the first week? Choose the most appropriate response.

No, Rochelle's savings will not change over time.

A

Yes, the difference in the balance from week to week increases at a linear rate.

B

Yes, the accumulated savings will approach a constant amount after many weeks.

C

Yes, for every week that passes, Rochelle's savings will increase by a constant amount.

D
Easy
< 1min

A soccer ball is kicked at $20$20 m/s at a $50$50 degree angle. The height of the ball throughout the first second is plotted below.

Easy
< 1min

Mario cooks a pot of soup and measures the temperature as it cools down. The scatter plot below shows the temperature of the soup, $y$y, in degrees Celsius, measured at every minute, $x$x.

Easy
< 1min

A large bucket has a very small leak near its base. The volume of water in the bucket, measured in cubic feet, is recorded once a minute and the results are plotted below.

Easy
< 1min
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Outcomes

MS1-12-1

uses algebraic and graphical techniques to evaluate and construct arguments in a range of familiar and unfamiliar contexts

MS1-12-6

represents the relationships between changing quantities in algebraic and graphical forms

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