Question

a cake recipe calls for 3 cups of flour for every 1 teaspoon of baking powder. complete the table to show the cups of flour needed for each number of teaspoons of baking powder. teaspoons of baking powder, x cups of flour, y 0 □ 1 □ 2 □ 3 □

Explanation:

Step1: Determine the relationship

The recipe calls for 3 cups of flour for every 1 teaspoon of baking powder, so the relationship is \( y = 3x \), where \( x \) is teaspoons of baking powder and \( y \) is cups of flour.

Step2: Calculate for \( x = 0 \)

Substitute \( x = 0 \) into \( y = 3x \): \( y = 3\times0 = 0 \).

Step3: Calculate for \( x = 1 \)

Substitute \( x = 1 \) into \( y = 3x \): \( y = 3\times1 = 3 \).

Step4: Calculate for \( x = 2 \)

Substitute \( x = 2 \) into \( y = 3x \): \( y = 3\times2 = 6 \).

Step5: Calculate for \( x = 3 \)

Substitute \( x = 3 \) into \( y = 3x \): \( y = 3\times3 = 9 \).

Answer:

For \( x = 0 \), \( y = 0 \); for \( x = 1 \), \( y = 3 \); for \( x = 2 \), \( y = 6 \); for \( x = 3 \), \( y = 9 \). So the completed table (from top to bottom in the "Cups of flour, y" column) is 0, 3, 6, 9.