During the course of a year, the number of volunteers available to run a food bank each month is modeled by V(x), where V(x) 2x 2 32x 150 between the months of January and August Here x is time in months, with x 1 representing January From August to December, V(x) is modeled by V(x) 31x 226 Find th...

Because Vx has different equations on two different intervals it is a piecewisedefined fu ...

During the course of a year, the number of volunteers available to run a food bank each

Question:

During the course of a year, the number of volunteers available to run a food bank each month is modeled by V(x), where V(x) = 2x² - 32x + 150 between the months of January and August. Here x is time in months, with x = 1 representing January. From August to December, V(x) is modeled by V(x) = 31x - 226.

Find the number of volunteers in each of the following months.

(a) January

(b) May

(d) October

(e) December

(f) Sketch a graph of y = V(x) for January through December. In what month are the fewest volunteers available?

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