AI.S-ID.B.6.a

Fit a linear function to the data and use the fitted function to solve problems in the context of the data. Use functions fitted to data or choose a function suggested by the context (emphasize linear and exponential models).

Example Problems
Seth is collecting data on his height over the years.
Seth has created a
scatter plot that shows the relationship between his height, , and the number of years, . He thinks the data might show a linear relationship.

What graph will show a
linear relationship if Seth's data is indeed linear?
Charles is collecting data on how many grapes his sister eats each day.
Charles has created a
scatter plot that shows the relationship between the number of grapes his sister has eaten, , and the number of days, . He thinks the data might show a linear relationship.

What graph will show a
linear relationship if Charles's data is indeed linear?
Ivy is dropping small steel balls from rest and is collecting data on how far they fall over time.

Ivy has created a scatter plot that shows the relationship between the distance fallen,
, and the time, . She thinks the data might show that is a quadratic function of .

What graph will show a
linear relationship if is indeed a quadratic function?
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