The Fundamental Theorem of Calculus
Sonya can paint at a rate of
v(t) = 150 – 4t
square feet per hour, where t is the number of hours since she started painting. Can Sonya paint the walls of a 12 foot by 12 foot office with an 8 foot high ceiling in 3 hours?
What about the walls of a 14 foot by 14 foot office with an 8 foot high ceiling?