Problema Solution

A carpenter charges a fixed rate for

each hour of labor. Let’s describe this

rate as a function of time by r(t) = 25,

where t is measured in hours and r is

measured in dollars per hour. Draw the

graph of r versus t. Be sure to label each

axis with appropriate units. Shade the

area under the graph of r over the time

interval [0, 5] hours. What is the area under the graph of r over this time interval

and what does it represent?

Answer provided by our tutors

As the graph is rectangle (horizontal line due to fixed rate)

Area under the graph = Height * Width = 25 ($/hours) * 5 (hours) = 125 $

Area under the graph shows the total charges of the carpenter in 5 hours interval