Question 41 Use the following information to answer this and the next two questions. s(t)million students is the number

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Question 41 Use The Following Information To Answer This And The Next Two Questions S T Million Students Is The Number 1 (28.39 KiB) Viewed 31 times

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Question 41 Use the following information to answer this and the next two questions. s(t)million students is the number of undergraduate students in the US, t years after fall 2010. A(+) gives the proportion of US undergraduate students awarded a Pell grant, t years after fall 2010. (Recall that a proportion is a percent writt In fall 2015, there were 22.7 million US undergraduate students, and this number was decreasing by 0.3 million students per year, Also in fall 2015, the proportion of undergraduate students in the US awarded Pell grants was 0.34, and this was decreasing by 0.02 per year. Part a) Using linearization of the function S (t) complete the following sentence by filling in the blank. The number of undergraduate students in the US In fall 2016 is estimated to have been million students. Note: Round the answer correct to three decimal places

S(t) million students is the number of undergraduate students in the US, t years after fall 2010, A t) gives the proportion of US undergraduate students awarded a Pell grant, t years after fall 2010. (Recall that a proportion is a perce In fall 2015, there were 22.7 million US undergraduate students, and this number was decreasing by 0.3 million students per year. Also in fall 2015, the proportion of undergraduate students in the US awarded Pell grants was 0.34, and this was decreasing by 0.02 per A new function P(t) = S(t). A (t) can be constructed from S (t) and A (t). Part b) Complete the following sentence by filling in the blank, correct to three decimal places. In fall 2015, the total number of US undergraduates awarded a Pell grant was Note: Round the answer correctly to three decimal places, million students,

S (t) million students is the number of undergraduate students in the US, t years after fall 2010. A(t) gives the proportion of US undergraduate students awarded a Pell grant, t years after fall 2010. (Recall that a proportion is a pe In fall 2015, there were 22.7 million US undergraduate students, and this number was decreasing by 0.3 million students per year. Also in fall 2015, the proportion of undergraduate students in the US awarded Pell grants was 0.34, and this was decreasing by 0.02 A new function P(t) = $(t) · A (t) can be constructed from S (t) and A (t). Part) How quickly was the total number of undergraduates awarded a Pell Grant changing in 2015? In Fall 2015, the total number of US undergraduates awarded a Pell Grant was W (Select) Select 1 increasing by 2.71 decreasing by 0.556 decreasing by 0.300 Increasing by 0.006