Question

Noel works as a driver for a transportation company. On average, he drives 152 hours to make 19 successful deliveries. Assume this rate is his constant rate for delivering goods. If you graph this relationship with time along the x-axis and number of deliveries along the y-axis, the slope of the line you get gives Noel's unit rate for a successful delivery. Which unit rate can be interpreted as the slope?

Answer 1

For this case, the first thing we must do is define variables.

We have then:

x: time in hours

y: number of total deliveries.

We have a relationship of the form:

$y = kx$

Where,

k: slope of the line.

To find k we use the following data:

On average, I have 152 hours to make 19 successful deliveries.

Substituting values we have:

$19 = 152k$

Clearing k we have:

$k = 19/152\\k = 0.125$

Answer:

An unit rate that can be interpreted as the slope is:

$k = 0.125$