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

Amount of Carbohydrates in Fruit

\begin{tabular}{|c|c|}
\hline
Fruit & 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 :

Let's analyze the data for each fruit and determine which statements are correct based on the carbohydrate content of the fruits.

1. Carbohydrates in Fruits
- Apples: 17 grams
- Bananas: 34 grams
- Cherries: 19 grams
- Grapefruit: 24 grams
- Oranges: 21 grams
- Peaches: 16 grams
- Watermelons: 12 grams

Now, let's evaluate each of the provided statements:

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

To verify this, we count the number of fruits with carbohydrate content less than 24 grams (Grapefruit):
- Apples (17 grams)
- Cherries (19 grams)
- Oranges (21 grams)
- Peaches (16 grams)
- Watermelons (12 grams)

There are 5 bars shorter than the bar for grapefruits.

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

To verify this, we count the number of fruits with carbohydrate content more than 17 grams (Apples):
- Bananas (34 grams)
- Cherries (19 grams)
- Grapefruit (24 grams)
- Oranges (21 grams)

There are 4 bars taller than the bar for apples.

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

To verify this, we identify the highest carbohydrate content and see if both Grapefruits and Oranges match it:
- Bananas have 34 grams which is the highest and it is greater than both Grapefruit (24 grams) and Oranges (21 grams).

Thus, grapefruits and oranges are not the tallest bars.

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

To verify this, we count the number of fruits with carbohydrate content less than 16 grams (Peaches):
- Watermelons (12 grams)

There is indeed only one bar shorter than the bar for peaches.

Based on the analysis:

- The first statement is incorrect; there are 5 bars shorter than the bar for grapefruits.
- The second statement is incorrect; there are 4 bars taller than the bar for apples.
- The third statement is incorrect; grapefruits and oranges are not the tallest bars.
- The fourth statement is correct; there is only one bar shorter than the bar for peaches.

Therefore, the correct description of the graph is:
"The graph would have only one bar shorter than the bar for peaches."