Amy has $30 to spend on snacks and beverages for herself and her friends at the movie theater. The cost for nachos was $5. The cost for each beverage was half the cost of the nachos
Let x be the number of nachos and y be the number of beverages
The cost for nachos was $5. So the cost of 'x' nachos = 5x
The cost for each beverage was half the cost of the nachos.
The cost of each beverage = [tex]\frac{5}{2} =2.5[/tex]
so the cost of y beverage = 2.5 y
Cost of x nachos + cost of y beverage = total amount spend
5x + 2.5y = 30
Now we find x and y intercept
When Amy does not buy any beverages we put y=0
5x + 2.5(0) = 30
5x = 30
x= 6. The x intercept is (6,0)
When Amy does not buy any nachos we put x=0
5(0) + 2.5y = 30
2.5y = 30
y=12. The y intercept is (0,12)
The graph is attached below
(b) The graph is a straight line. From the graph we can see that when Amy does not buy any nachos then she can spend #30 to buy 12 beverages .
when Amy does not buy any beverages then she can spend #30 to buy 6 nachos.
