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The table below shows the relationship between the number of teaspoons of baking powder in a mix 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 \begin{tabular}{c}
Height of Brownies \\
(cm)
\end{tabular} & 2.15 & 2.43 & 2.71 & 2.99 \\
\hline
\end{tabular}

A. [tex]$y=0.28x+0.75$[/tex]
B. [tex][tex]$y=0.75x+0.56$[/tex][/tex]
C. [tex]$y=0.75x+0.28$[/tex]
D. [tex]$y=0.56x+0.75$[/tex]

Sagot :

GinnyAnswer
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]
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