Questions: The table shows the usual dosage for a certain prescription drug that combats bacterial infections for a person's weight. Complete parts (a) through (d) below. Weight (lb) Usual Dosage (mg) 56 35 64 40 72 45 80 50 88 55 96 60 104 65 112 70 120 75 128 80 136 85 D. No. The first differences are not constant for uniform inputs. b. If so, how many of the data points are needed to find the linear function that model the data exactly? Select the correct answer below and, if necessary, fill in the answer box that completes your choice. A. There are 2 data points needed to find the linear function that models the data exactly. (Type a whole number.) B. A linear model cannot exactly model the points from the table. c. Find a linear function D=f(w) that models the data exactly. Select the correct answer below and, if necessary, fill in the answer box that completes your choice. A. The linear function is D= . (Type an expression using w as the variable. Use integers or fractions for any numbers in the expression.) B. The data cannot be modeled exactly by a linear function.

Transcript text: The table shows the usual dosage for a certain prescription drug that combats bacterial infections for a person's weight. Complete parts (a) through (d) below. \begin{tabular}{|c|c|} \hline Weight (lb) & Usual Dosage (mg) \\ \hline 56 & 35 \\ \hline 64 & 40 \\ \hline 72 & 45 \\ \hline 80 & 50 \\ \hline 88 & 55 \\ \hline 96 & 60 \\ \hline 104 & 65 \\ \hline 112 & 70 \\ \hline 120 & 75 \\ \hline 128 & 80 \\ \hline 136 & 85 \\ \hline \end{tabular} D. No. The first differences are not constant for uniform inputs. b. If so, how many of the data points are needed to find the linear function that model the data exactly? Select the correct answer below and, if necessary, fill in the answer box that completes your choice. A. There are 2 data points needed to find the linear function that models the data exactly. (Type a whole number.) B. A linear model cannot exactly model the points from the table. c. Find a linear function $D=f(w)$ that models the data exactly. Select the correct answer below and, if necessary, fill in the answer box that completes yoJır choice. A. The linear function is $D=$ $\square$ . (Type an expression using w as the variable. Use integers or fractions for any numbers in the expression.) B. The data cannot be modeled exactly by a linear function.