Answered

The table below shows the amount of carbohydrates in similar servings of different fruits.

Amount of Carbohydrates in Fruit

\begin{tabular}{|c|c|}
\hline
\textbf{Fruit} & \textbf{Carbohydrates (Grams)} \\
\hline
Apples & 17 \\
\hline
Bananas & 34 \\
\hline
Cherries & 19 \\
\hline
Grapefruit & 24 \\
\hline
Oranges & 21 \\
\hline
Peaches & 16 \\
\hline
Watermelons & 12 \\
\hline
\end{tabular}

If this data were placed in a bar graph, which statement would describe the graph?

A. The graph would have only four bars shorter than the bar for grapefruits.
B. The graph would have five bars taller than the bar for apples.
C. The graph would have grapefruits and oranges as the tallest bars.
D. The graph would have only one bar shorter than the bar for peaches.



Answer :

GinnyAnswer
### Step-by-Step Solution:

To determine the correct statements about the bar graph for the given data on carbohydrate content in various fruits, let's analyze each statement in relation to the data provided.

First, let's list the carbohydrate content for each fruit:
- Apples: 17 grams
- Bananas: 34 grams
- Cherries: 19 grams
- Grapefruit: 24 grams
- Oranges: 21 grams
- Peaches: 16 grams
- Watermelons: 12 grams

Now, we'll analyze each statement one by one:

#### Statement 1: The graph would have only four bars shorter than the bar for grapefruits.

Let's check which fruits have fewer than 24 grams of carbohydrates:
- Apples: 17 grams < 24 grams
- Cherries: 19 grams < 24 grams
- Oranges: 21 grams < 24 grams
- Peaches: 16 grams < 24 grams
- Watermelons: 12 grams < 24 grams

There are five fruits with fewer carbs than grapefruit. Hence, the statement "only four bars shorter" is incorrect.

Statement 1 is False.

#### Statement 2: The graph would have five bars taller than the bar for apples.

Let's check which fruits have more than 17 grams of carbohydrates:
- Bananas: 34 grams > 17 grams
- Cherries: 19 grams > 17 grams
- Grapefruit: 24 grams > 17 grams
- Oranges: 21 grams > 17 grams

There are four fruits with more carbs than apples. Hence, the statement "five bars taller" is incorrect.

Statement 2 is False.

#### Statement 3: The graph would have grapefruits and oranges as the tallest bars.

The tallest bar(s) would represent the fruit(s) with the highest carb content. The carbohydrate content is:
- Bananas: 34 grams (tallest)
- Grapefruits: 24 grams
- Oranges: 21 grams

Bananas have the highest carbohydrate content (34 grams), much more than grapefruits and oranges. Hence, the statement "grapefruits and oranges as the tallest bars" is incorrect.

Statement 3 is False.

#### Statement 4: The graph would have only one bar shorter than the bar for peaches.

Let's check which fruits have fewer than 16 grams of carbohydrates:
- Watermelons: 12 grams < 16 grams

There is only one fruit with fewer carbs than peaches. Therefore, this statement is correct.

Statement 4 is True.

### Summary

Based on the analysis:
- Statement 1: False
- Statement 2: False
- Statement 3: False
- Statement 4: True

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