Quantity vs. Rate-of-Change The projected number of senior citizens in the U. S. for the years 1995 through 2030 can be modeled by N(x), million senior citizens, where x is the number of years after 2000 N(x) = 0.03x2 + 0.315x + 34.23 (a) Find the derivative of N(x) and use it to complete the model statement below. (Refer back to Section 3.2 of your text (or ebook) for simple derivative rules.) N'(x)= .06**.315 N(x)-06x+.315 million seniorci izens peryea B、 gives the projected rate at which the number of senior citizens is changing x years after 2000, for the years 1995 through 2030 Use the appropriate function from above to answer questions b through d
(b) What is the projected number of senior citizens in the year 2025? (Round your answers to 3 decimal places.) 60.855 million senior citizens
(c) What is the projected rate of change of the number of senior citizens in 2025? (Round your answers to 3 decimal places.) 1.815 million senior citizens per year
(d) The Census Bureau predicts that in 2030, 20.1% of the u. s. population will be senior citizens. Use this prediction to estimate the total U. S. population in 2030" (Round your answer to 3 decimal places.) 347.91 x million people symbolic formatting help