Question

Graph the line that represents a proportional relationship between d and t with the property that an increase of 5 units in t corresponds to an increase of 2 units in d. What is unit rate of change of d with respect to t?

Answer 1

Given:

An increase of 5 units in t corresponds to an increase of 2 units in d.

Here t is the x-axis, while d is the y-axis.

Let's graph the line:

Here we are told there is a proportional relationship. this means the line must pass through the origin of the graph

Here are the steps:

Plot a dot at (0, 0)

Move 1 unit to the right, (you will now be at point (1, 0)

Now move 5 units upward, Now you'll be at point (1, 5)

Next is to draw a straight line through the points: (0, 0) and (1, 5)

Now the rate of change will be the slope,

$\text{slope = }\frac{rise}{\text{run}}=\frac{5}{1}=5$