Question

1. Judy took $15 with her to spend on popcorn and drinks for herself and her friends at the movie theater. The price for each bag of popcorn was $3. The price of each drink was half the price of a bag of popcorn.

(a) Sketch the graph that represents the situation and label the intercepts. Use one axis to represent the number of bags of popcorn and the other axis to represent the number of drinks.

Answer 1

Let the number of popcorn be x and the number of drinks be y, then according to the question we have the following equation

.................> linear equation

To sketch the graph first we need to find two points on it.

EXAMPLE

put x=0, we get y=10

put y=0, we get x=6

Thus, we have points (0,10) and (6,0), now sketch a line through it .

Thus in the graph x - axis represents the number of popcorn and y axis represents the number of drinks.

The slope of the graph is

Explanation: