Question

at the greenpoint summer festival, farid is selling his animal - shaped cupcakes. farid had to buy the ingredients and pay a food - vendor fee, so he hopes he sells enough cupcakes to make a profit. this table shows the relationship between the number of cupcakes farid sells, x, and the amount of profit (in dollars) hell make, y. x (cupcakes) y (dollars) 52 $34 54 $42 63 $78 66 $90 according to the values in the table, do x and y have a proportional relationship? yes no

Explanation:

Step1: Recall proportional - relationship condition

For two variables \(x\) and \(y\) to be proportional, the ratio \(\frac{y}{x}\) must be constant for all non - zero values of \(x\).

Step2: Calculate ratios for each pair

For the first pair \((x = 52,y = 34)\), \(\frac{y}{x}=\frac{34}{52}=\frac{17}{26}\approx0.654\).
For the second pair \((x = 54,y = 42)\), \(\frac{y}{x}=\frac{42}{54}=\frac{7}{9}\approx0.778\).
Since \(\frac{17}{26}
eq\frac{7}{9}\), the ratios are not constant.

Answer:

no