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SCHOOL ENROLLMENT The table shows the number of students (in millions) enrolled in school in the United States by age. Make a table showing the total number of students enrolled for each given year. $$ \begin{array}{|c|c|c|c|c|c|} \hline \text { Age } & {1980} & {1985} & {1990} & {1995} & {2000} \\ \hline 14-15 \text { years old } & {7282} & {7362} & {6555} & {7651} & {8100} \\ \hline 16-17 \text { years old } & {7129} & {6654} & {6098} & {6997} & {7600} \\ \hline 18-19 \text { years old } & {3788} & {3716} & {4044} & {4274} & {4800} \\ \hline \end{array} $$

In this question were being asked to continue from our last problem, where we found the total number of students for each year. And we're being asked to tell which year had the least number of students. And then we're also being asked to find out which one had the greatest. So we need to find the number with the least amount or the year with the least number of students. So we want to look, I would just jump straight to the 10 thousands or into the thousands column because everything is, um, has at least 10,000. So we want to find the smallest number I have. 18,000, 17,000, 16,000, 18,000 and 20,016 is the smallest of those numbers. So the year that had the least number of students is 1990. Then we want to find the year with the greatest number of students. So again, looking at those numbers, we know that this one's out. Um, we have 18,000, 17,000, 18,000 and 20,000. So the year with the greatest number of students is the year 2000

Mhm. So for the given problem, we're told that accompany manufacturers, memory chips for microcomputers, the price demand function is given to us as p of X, He called 75 -3 apps. So we want to plot the data with data point and sketch the graph. So We do this, we'll say have X equals zero equals 75. And then since this is a line, we really only need two points And that's going to be 25/0. So if these points alone, we can sketch our graph and we see that when we want an estimated price per chip for a demand of seven million chips, so that's going to be X equals seven. We see the price would be about 54. Um That's the price is 54 and then 11 million chips would be a price of about 42. So that's how we interpret this graph.

In problem 91. We have a table that shoes the quantities of personal computers shipped in the United States and the Values V in billions of dollars. Fue is the quantities and V is the price or the value off the shipments through the years 1999 toe 20 or four and the variable tea or X, represents 1999 as nine and 1904 is 14. This is a horrible key in part. A. You want to use a graphing utility to find the cubic models for the company of personal computers. Q. 50 and the value off deep equals have here used Excel Toe Get the cubic models. We have minus 4.0 for you 46 for you 46 Execute or T Cube plus 2.5 to 9 four. He squared minus 36.894 de plus between 186.61 for the values. The values function equals 4.796 The Cube finest 2.1615 he squared plus 15.3 to t on finally, plus 5.9206 for bar TV we want to graph these models. We used this moose to grab these models for. Q. Starting at year 1999 ending at 1920 or four. This is the number of quantities in millions, and here we have the value. We have the value off the shipments in billions of dollars starting at year 1990 nine and in the head near 20 or four. Forward. See, we want to get a He is just Q divided by the and to graph it, we have dysfunction here, which represents, for example, at 19 8 year 1990 That year, 19 99 1999 we have equals 4.81 five. This represents this the unit price for each computer in $1000 at year 1999. Until we reach the year 20 or four, we see that the average unit price equals 1.777 multiplied by $1000 then a represents the average unit price for computers in each year. Personal computers for birdie. We want to define the function a dish of tea, the derivative off A which year is dysfunction. It represented the increase or decrease in the value off personal computers at each year. For example, at the first years, we can see that there is a decrease in the price and in years in the twenties we have an increase in Daniel Price for each year until we have a decrease again in 20 all four in the 20 or four, and this is the final answer of our problem.

According to the given Mac tricks, they are according to Cushion, We have the Given Metric. Six It for Peace Salan 10 9 38.9 9 42.5 It it 1.9 803.3 7 45 19 On the second row C is dag zero point fight. Cool 0.5 three You born three 7.9. Dan Born seven and 17 point Fight, according to Kocian, says that there is year represent in Coolum in this Mac tricks. Also, you represent a column Daddy's 1998 Deary's 1999 Daddy's 00 Talk and Run 2002 and 2003. The Old School, um, our Reports and the Years and the Rose Report. Donda Seed. Yes, all right duty is according Toa. This metrics in caution says that we find out the value of a 23 It means a two second row. Her element in this represent a to three second row. Third element is 3.3