Answered

Welcome to Westonci.ca, where you can find answers to all your questions from a community of experienced professionals. Experience the convenience of finding accurate answers to your questions from knowledgeable professionals on our platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

Select the correct answer.

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]
We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.