Question

the unruly queens chess club is hosting a tournament, and each club member is bringing something to eat or drink. valentina decides to bring oatmeal raisin cookies from her favorite bakery. this table shows the relationship between the number of oatmeal raisin cookies valentina buys, x, and their total cost (in dollars), y. x (cookies) y (dollars) 8 $24 24 $72 27 $81 41 $123 according to the values in the table, do x and y have a proportional relationship? yes no what is the constant of proportionality? write your answer as a whole number or decimal. dollars per cookie

Explanation:

Step1: Calculate ratio for first pair

For the first row where $x = 8$ and $y=24$, the ratio $\frac{y}{x}=\frac{24}{8}=3$.

Step2: Calculate ratio for second pair

For the second row where $x = 24$ and $y = 72$, the ratio $\frac{y}{x}=\frac{72}{24}=3$.

Step3: Calculate ratio for third pair

For the third row where $x = 27$ and $y = 81$, the ratio $\frac{y}{x}=\frac{81}{27}=3$.

Step4: Calculate ratio for fourth pair

For the fourth row where $x = 41$ and $y = 123$, the ratio $\frac{y}{x}=\frac{123}{41}=3$.
Since the ratio $\frac{y}{x}$ is constant for all pairs, $x$ and $y$ have a proportional relationship.

Answer:

yes
3