1. The Atlanta Hawks scored 92 points in a basketball game. They made a total of 41 baskets. Some baskets were 2-points and some were 3-points. Create a system of equations to represent the problem and find the number of 2- and 3-point baskets made by graphing.
a) name the variables: x is the number of 2-point baskets and y is the number of 3-pointers.
b) set up equation for the number of baskets made: 41=x+y
c) set up equation for the number of points scored: 92=2x+3y
d) Graph the first equation (number of baskets made. You can do this by hand by picking a value for x (number of 2-point baskets) and solving for y. Let’s pick 2 for x.
x = 2, y =
Therefore, the point (2, ) is on the graph.
Let’s pick another value for x to find a second point on the graph. Let x be 4.
x = 4, y =
Therefore, the point (4, ) is on the graph.
Let’s pick one more value for x. Let x be 6.
x = 6, y =
Therefore, the point (6, ) is on the graph. Graph these three points and sketch the line through them.