A scatter plot is depicted with a vertical y-axis and a horizontal x-axis, both unlabeled except for the notations 'y' and 'x' at their respective ends. There are seven distinct black dots scattered across the plot, with coordinates at $\left(1,\frac{11}{20}\right)$(1,1120), $\left(2,\frac{27}{20}\right)$(2,2720), $\left(3,\frac{53}{20}\right)$(3,5320), $\left(4,\frac{69}{20}\right)$(4,6920), $\left(5,\frac{17}{4}\right)$(5,174), $\left(6,\frac{101}{20}\right)$(6,10120), and $\left(7,\frac{107}{20}\right)$(7,10720). The dots form a not-so-perfect straight line if they are connected. The graph indicates that as time increases, the number of parks in a city also increases. The coordinates of the points are not explicitly shown in the image.

Which type of model would be appropriate for this data?

Linear

Quadratic

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

Positive

Negative

Easy

< 1min

The scatter diagram shows the number of sales of hot-chocolate a cafe makes as a function of temperature.

Easy

< 1min

The scatter diagram shows the number of fish in pond as a function of time.

Easy

< 1min

The scatter diagram shows the average fuel economy of a car as a function of speed.

Easy

< 1min

Outcomes

12C.A.2.5

Compare, through investigation with technology, the graphs of pairs of relations (i.e., linear, quadratic, exponential) by describing the initial conditions and the behaviour of the rates of change

Modelling Functions with Data

Interactive practice questions

Outcomes

12C.A.2.5

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