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 = $\frac{5}{2} =2.5$

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.

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4 years ago