Questions: y=2.5x+200 Use the linear equation you found in part (c) to predict the number of calories in a candy bar that weighs 52.1 grams. Interpret the slope of the line found in part (c). If the weight of the candy bar is increased by 1 gram, then the number of calories will increase by calories.

y=2.5x+200 Use the linear equation you found in part (c) to predict the number of calories in a candy bar that weighs 52.1 grams. Interpret the slope of the line found in part (c). If the weight of the candy bar is increased by 1 gram, then the number of calories will increase by calories.
Transcript text: y=2.5x+200 Use the linear equation you found in part (c) to predict the number of calories in a candy bar that weighs 52.1 grams. Interpret the slope of the line found in part (c). If the weight of the candy bar is increased by 1 gram, then the number of calories will increase by $\square$ calories.
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Solution

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Solution Steps

Step 1: Identify the given linear equation

The given linear equation is \( y = 2.5x + 200 \).

Step 2: Graph the line on the scatter diagram

To graph the line \( y = 2.5x + 200 \), we need to identify the correct graph from the options provided.

  • Option A shows a line with a positive slope intersecting the y-axis at 200.
  • Option B shows a line with a negative slope.

Since the slope in the given equation is positive (2.5), the correct graph is Option A.

Step 3: Predict the number of calories for a given weight

Using the linear equation \( y = 2.5x + 200 \), we need to predict the number of calories for a candy bar that weighs 52.1 grams.

Substitute \( x = 52.1 \) into the equation: \[ y = 2.5(52.1) + 200 \] \[ y = 130.25 + 200 \] \[ y = 330.25 \]

Final Answer

  • The correct graph is Option A.
  • The predicted number of calories for a candy bar that weighs 52.1 grams is 330.25 calories.
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