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Question
the unruly queens chess club is hosting a tournament, and each club member is bringing something to eat or drink. leslie decides to bring oatmeal raisin cookies from her favorite bakery. there is a proportional relationship between the number of oatmeal raisin cookies leslie buys, x, and their total cost (in dollars), y. write an equation for the relationship between x and y. simplify any fractions. y =
Step1: Find the constant of proportionality
For a proportional relationship $y = kx$, where $k$ is the constant of proportionality. We can find $k$ using a point on the line. Let's take the point $(10, 10)$ (when $x = 10$, $y=10$). The formula for $k$ is $k=\frac{y}{x}$. So $k=\frac{10}{10}=1$.
Step2: Write the equation
Since $k = 1$, the equation for the proportional - relationship is $y=kx$. Substituting $k = 1$ into the equation, we get $y = 1x$ or simply $y=x$.
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$y=x$