Lab

Q1. The following data represent the weight (in grams) of a box of raisins and the number of raisins in the box.

Weight ( in grams), W	Number of Raisins, N
42.3	87
42.7	91
42.8	93
42.4	87
42.6	89
42.4	90
42.3	82
42.5	86
42.7	86
42.5	86

1. Find a linear model that contains the points. Use Maple to graph it.
2. Use the linear model to predict the number of raisins in a box that weighs 42.5 grams.
3. Interpret the slope of the line found in part a.

Q2. In the United States, the birthrate B for unmarried women (births per 1000 unmarried women) whose age is x is modeled by the function.

B(x)=-0.31x²+16.54x - 151.04.

1. What is the age of unmarried women with the highest birthrate?
2. What is the highest birthrate of unmarried women?
3. Evaluate and interpret B(40).

Q3. Solve the quadratic inequality.

Express your answer using set-builder or interval notation.

Graph the function using MAPLE and explain your graph.

x(5x+ 9) 2