Question

From the graph given below, compare the unit rate of planned and current speed of the shuttle.


Current unit rate is the Planned unit rate.

• A. greater than
• B. equal to
• C. less than

Answer 1

The correct option is C less than

For the straight line representing the Planned unit rate, consider the points (10,6) and (5,8.5)


$\text{∴ Planned unit rate = slope =}\frac{changeiny}{changeinx}$
$=\frac{8.5-6}{5-10}=\frac{2.5}{-5}$
$=\frac{-1}{2}=-0.5$

Similarly,


For the straight line representing the Current unit rate, consider the points (10,1) and (5,6)

$\text{∴ Current unit rate = slope =}\frac{changeiny}{changeinx}$
$=\frac{6-1}{5-10}=\frac{5}{-5}$
$=\frac{-1}{1}=-1$

$\text{As}-0.5>-1$
so, Current unit rate is less than Planned unit rate.