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