I have done all but the letter C. I can not figure out how to set this equation up. (10 pts) Alan went on a diet.

I have done all but the letter C. I can not figure out how to set this equation up.

5. (10 pts) Alan went on a diet. Alan's weight w in pounds t weeks after the start of the diet is modeled by

w(t) = -0.004t3 + 0.18t2 - 3t + 280 for 0 £ t £ 15 weeks.

(a) What was Alan's weight at the start of the diet?

W(0)=-0.004(0)2+0.18(0)2-3(0)+280 0 £ t £ 15 weeks W=280

(b) What was Alan's weight 15 weeks after the start of the diet? Show work.

W(15)=-0.004(15)2+0.18(15)2-3(15)+280 0 £ t £ 15

-0.004*3375+0.18*152-3*15+280

-0.004*3375+0.18*225-3*15+280

-13.5+0.18*225-3*15+280

-13.5+40.5-3*15+280

-13.5+40.5-45-280

W=262