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CanadaON
Grade 12

Linear vs Exponential Models

Interactive practice questions

The points plotted indicate the number of office buildings ($y$y-axis) in a city over time ($x$x-axis).

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a

Which type of model would be appropriate for this data?

Linear

A

Exponential

B
b

Will the slope of the line in the linear model be positive or negative?

Positive

A

Negative

B
Easy
< 1min

The plotted points represent the number of ice-cream sales ($y$y-axis) in a day for a given temperature ($x$x-axis).

Easy
< 1min

The scatter plot below shows the altitude and average annual temperature of ten randomly selected locations on Earth.

Easy
5min

The scatter plot below shows the amount of ambient oxygen in the air at various altitudes.

Easy
5min
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Outcomes

12C.A.2.6

Recognize that a linear model corresponds to a constant increase or decrease over equal intervals and that an exponential model corresponds to a constant percentage increase or decrease over equal intervals, select a model (i.e., linear, quadratic, exponential) to represent the relationship between numerical data graphically and algebraically, using a variety of tools (e.g., graphing technology) and strategies (e.g., finite differences, regression), and solve related problems

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