Question

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

Explanation:

Step1: Find the constant of proportionality

For a proportional relationship \(y = kx\), where \(k\) is the constant of proportionality. Using the first pair \((x = 8,y = 24)\), \(k=\frac{y}{x}\). So \(k=\frac{24}{8}=3\).
We can check with other pairs: For \(x = 15,y = 45\), \(\frac{y}{x}=\frac{45}{15}=3\); for \(x = 17,y = 51\), \(\frac{y}{x}=\frac{51}{17}=3\); for \(x = 19,y = 57\), \(\frac{y}{x}=\frac{57}{19}=3\).

Step2: Write the equation

Since \(k = 3\), the equation for the proportional relationship \(y=kx\) becomes \(y = 3x\).

Answer:

\(y = 3x\)