Question

the unruly queens chess club is hosting a tournament, and each club member is bringing something to eat or drink. clare decides to bring oatmeal raisin cookies from her favorite bakery. there is a proportional relationship between the number of oatmeal raisin cookies clare buys, x, and their total cost (in dollars), y. x (cookies) y (dollars) 6 $12 7 $14 9 $18 10 $20 write an equation for the relationship between x and y. simplify any fractions. y =

Explanation:

Step1: Find the constant of proportionality

The equation for a proportional relationship is $y = kx$, where $k$ is the constant of proportionality. We can find $k$ by taking the ratio of $y$ to $x$ for any pair of values in the table. For example, when $x = 6$ and $y=12$, $k=\frac{y}{x}=\frac{12}{6}=2$.

Step2: Write the equation

Since $k = 2$, the equation for the relationship between $x$ and $y$ is $y = 2x$.

Answer:

$y = 2x$