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The table below shows the relationship between the number of teaspoons of baking powder and the height of fudge brownies in centimeters. Which equation represents the height of fudge brownies with [tex]\( x \)[/tex] teaspoons of baking powder?

\begin{tabular}{|c|c|c|c|c|}
\hline
\multicolumn{5}{|c|}{Making Fudge Brownies} \\
\hline
Baking Powder (tsp) & 5 & 6 & 7 & 8 \\
\hline
Height of Brownies (cm) & 2.15 & 2.43 & 2.71 & 2.99 \\
\hline
\end{tabular}

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]

Sagot :

GinnyAnswer
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]
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