During a ninehour snowstorm it snows at a rate of 2 inches p

During a nine-hour snowstorm, it snows at a rate of 2 inches per hour for the first 3 hours, at a rate of 3 inches per hour for the next 5 hours, and at a rate of 0.75 inch per hour for the final hour. Write and graph a piecewise-defined function that gives the depth of the snow during the snowstorm. 0 St S f(t) t t S exact number. Enter an

Solution

For first three hours,rate is 2 inches per hour. THerefore depth of snow is 2*3=6 inches

For the next 5 hours ,rate is 3 inches per hour

Therefore depth of snow during this period is 15 inches

For the final hour rate is .75inches per hour.

Therefore depth is .75 inches

Hence the piece wise function is

f(t)=6 ,0<t<=3

f(t)=15,3<t<=8

f(t)=.75,8<t<=9