To determine the equation that represents the height of fudge brownies [tex]\( y \)[/tex] based on the number of teaspoons [tex]\( x \)[/tex] of baking powder, let's analyze the data given:
- Baking Powder (tsp): [tex]\([5, 6, 7, 8]\)[/tex]
- Height of Brownies (cm): [tex]\([2.15, 2.43, 2.71, 2.99]\)[/tex]
The goal is to find a linear relationship of the form [tex]\( y = mx + b \)[/tex], where [tex]\( m \)[/tex] is the slope and [tex]\( b \)[/tex] is the y-intercept.
From the given calculations, we found the following:
- Slope (m): [tex]\( 0.28 \)[/tex]
- Intercept (b): [tex]\( 0.75 \)[/tex]
Using these values, we can construct the equation that represents the height of fudge brownies based on the number of teaspoons of baking powder.
Therefore, the equation [tex]\( y = 0.28 x + 0.75 \)[/tex] represents the relationship between the number of teaspoons of baking powder [tex]\( x \)[/tex] and the height of the fudge brownies [tex]\( y \)[/tex].
Thus, the correct answer is:
A. [tex]\( y = 0.28 x + 0.75 \)[/tex]
