Answer:
The graph in the attached figure
Step-by-step explanation:
Sketch the graph that represents the situation and label the intercepts
Let
x ------> the number of bags of popcorn
y -----> the number of drinks.
we know that
The price for each bag of popcorn was $6
The price of each drink was half the price of a bag of popcorn
so
The price of each drink was (1/2)$6=$3
The total bags of popcorn multiplied by $6 plus the number of drinks multiplied by $3 must be equal $42
The equation that represent this situation is
using a graphing tool
see the attached figure
<em>Find the y-intercept</em>
The y-intercept is the value of y when the value of x is equal to zero
For x=0
The y-intercept is the point (0,14)
That means -----> The number of drinks that Judy can buy when the number of bags of popcorn is equal to zero
<em>Find the x-intercept</em>
The x-intercept is the value of x when the value of y is equal to zero
For y=0
The x-intercept is the point (7,0)
That means ----->The number of bags of popcorn that Judy can buy when the number of drinks is equal to zero
