Problema Solution
A barrel contains 162 gallons of paint and is being drained at a constant rate of 7 gallons per minute. Give a model of the given solution.
Answer provided by our tutors
we will write an equation that models the number of gallons, g, after t minutes
for t= 0 (at the beginning)
g(0) = 162
our unknown is the number of minutes (t) and that is what is changing. we know that it is losing 7 gallons every minutes (so 7t).
we are starting with 162 so that will be our constant - we are taking about 7 gallons each minutes therefore, our final equation will look like
g(t) = 162 - 7t
For instance, after 2 minutes, the number of gallons would be
g(2) = 162 - 7*2
g(2) = 162 - 14
g(2) = 148 there would be 148 gallons left after 2 minutes.