Question

josiah loves to bake blueberry muffins for his friends and family. there is a proportional relationship between the volume of flour josiah uses (in cups), x, and the number of muffins he bakes, y. write an equation for the relationship between x and y. simplify any fractions.

Explanation:

Step1: Recall proportional relationship formula

For a proportional relationship, the formula is \( y = kx \), where \( k \) is the constant of proportionality (slope).

Step2: Find the slope \( k \)

From the graph, when \( x = 1 \), \( y = 9 \) (since the line passes through \( (1, 9) \) approximately, or we can see the trend). Using the formula \( k=\frac{y}{x} \), substitute \( x = 1 \) and \( y = 9 \). So \( k=\frac{9}{1}=9 \).

Step3: Write the equation

Substitute \( k = 9 \) into \( y = kx \), we get \( y = 9x \).

Answer:

\( y = 9x \)