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Rates and Slope

A car travels 90km in 2 hours, 135km in 3 hours, and 180km in 4 hours.

Plot the data on a graph, find the slope, and describe what it indicates about the movement of the car.

Graph:
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Slope = $\frac{\Delta y}{\Delta x} = \frac {y_2-y_1}{x_2-x_1}$

= $\frac {135-90}{3-2}=\frac {45km}{1hr}$

= $\frac {180-135}{4-3}=\frac{45km}{1hr}$

Slope is constant. This means the car is moving at a constant speed.

The slope gives the rate in $\frac{km}{hr}$
Solution: $\frac{45km}{hr}$