Question

Kayla bought $30 worth of pizza and soft drinks for her and her friends. The pizza cost $5 per slice and each soft drink cost $3. The equation 5x 3y = 30 represents the relationship between the number of pizza slices (x), the number of drinks (y) and the total Kayla spent on these items. The graph on the left represents the equation. What do the intercepts (0,10) and (6,0), mean in this situation? (What do they have to do with the problem)

Answer 1

The intercepts (0,10) and (6,0) on the graph of Kayla's budget equation represent the maximum number of soft drinks or pizza slices she can buy with $30 if she only buys one of the items.

Step-by-step explanation:

In Kayla's situation, the equation 5x + 3y = 30 represents the total cost of pizza and soft drinks where x is the number of pizza slices at $5 each and y is the number of soft drinks at $3 each. The intercepts on the graph of this equation, (0,10) and (6,0), reflect two possible scenarios. The intercept (0,10) means that if Kayla buys no pizza (x=0), she can afford 10 drinks (y=10). Conversely, the intercept (6,0) indicates that if she buys no soft drinks (y=0), she can afford 6 slices of pizza (x=6).