Question

alvin baked 6 mini pies to donate to a charity dinner before he ran out of sugar. with each additional cup of sugar he buys, he can bake 4 more mini pies. write an equation that shows how the total number of mini pies alvin can bake, y, depends on the number of cups of sugar he buys, x. y =

Explanation:

Step1: Identify the initial value and rate of change

The initial number of mini pies Alvin baked (when \( x = 0 \), no additional sugar bought) is 6. The rate of change, which is the number of mini pies he can bake per additional cup of sugar, is 4.

Step2: Use the slope - intercept form of a linear equation

The slope - intercept form of a linear equation is \( y=mx + b \), where \( m \) is the slope (rate of change) and \( b \) is the y - intercept (initial value). Here, \( m = 4 \) (pies per cup of sugar) and \( b=6 \) (initial number of pies). So the equation is \( y = 4x+6 \).

Answer:

\( 4x + 6 \)