To determine the correct equation that represents the height of fudge brownies given the number of teaspoons of baking powder, follow these steps:
1. Identify the Data: The provided data is:
- Teaspoons of baking powder (x): 5, 6, 7, 8
- Heights of brownies (y): 2.15, 2.43, 2.71, 2.99
2. Determine the Best Fit Line: We need to find the equation of the line [tex]\(y = mx + c\)[/tex] that best fits this data.
3. Calculate the Slope (m) and Intercept (c): From the analysis, we have:
- [tex]\( m = 0.28 \)[/tex]
- [tex]\( c = 0.75 \)[/tex]
4. Form the Equation: Using these values, we can write the equation for the height of fudge brownies in terms of the number of teaspoons of baking powder as:
- [tex]\( y = 0.28x + 0.75 \)[/tex]
Given the choices:
A. [tex]\( y = 0.28x + 0.75 \)[/tex]
B. [tex]\( y = 0.75x + 0.56 \)[/tex]
C. [tex]\( y = 0.75x + 0.28 \)[/tex]
D. [tex]\( y = 0.56x + 0.75 \)[/tex]
The correct answer is:
A. [tex]\( y = 0.28x + 0.75 \)[/tex]