Answer: function is y = -x/2 + 6 a) Graph added b) Graph explained
Step-by-step explanation:
Let y = bags of popcorn
Let x = number of drinks
Each bag of popcorn cost 5$
Each drink cost 5$/2
Judy took $30 to spend on popcorn and drinks
5y + 5x/2 = 30
5y = -5x/2 + 30
y = -5x/2·5 + 30/5
y = -x/2 + 6
This is the equation of a line.
a) The graph is added to this answer.
b) This graph represents the number of drinks on the x axis and the popcorn bags on the y axis. We can see that there are several points marked in red where there are whole solutions for the number of drinks and popcorn bags.
x = 0 ; y = 6 ↩ Judy spent $30 on 6 bags of popcorn and 0 drinks
x = 2 ; y = 5 ↩ Judy spent $30 on 5 bags of popcorn and 2 drinks
x = 4 ; y = 4 ↩ Judy spent $30 on 4 bags of popcorn and 4 drinks
x = 6 ; y = 3 ↩ Judy spent $30 on 3 bags of popcorn and 6 drinks
x = 8 ; y = 2 ↩ Judy spent $30 on 2 bags of popcorn and 8 drinks
x = 10 ; y = 1 ↩ Judy spent $30 on 1 bags of popcorn and 10 drinks
x = 12 ; y = 0 ↩ Judy spent $30 on 0 bags of popcorn and 12 drinks
Spymore
