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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
< 1 min

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

Easy
< 1 min

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

Easy
5 min

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

Easy
5 min
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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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