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 was 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 and compare the carbohydrate contents of each fruit step-by-step to match with the given statements.

1. Counting Bars Shorter than Grapefruit (24 grams):
- Apples: 17 grams
- Bananas: 34 grams
- Cherries: 19 grams
- Grapefruit: 24 grams
- Oranges: 21 grams
- Peaches: 16 grams
- Watermelons: 12 grams

We have to count the number of fruits with less 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

Therefore, there are 5 bars shorter than the bar for grapefruits.

2. Counting Bars Taller than Apples (17 grams):
- Bananas (34 grams) > 17 grams
- Cherries (19 grams) > 17 grams
- Grapefruit (24 grams) > 17 grams
- Oranges (21 grams) > 17 grams

Therefore, there are 4 bars taller than the bar for apples.

3. Checking if Grapefruits and Oranges are the Tallest Bars:
- Tallest amount of carbohydrates is found in Bananas: 34 grams. So, grapefruits (24 grams) and oranges (21 grams) are not the tallest.

4. Counting Bars Shorter than Peaches (16 grams):
- Watermelons (12 grams) < 16 grams

Therefore, there is only 1 bar shorter than the bar for peaches.

Combining all the results:

- The graph would have 5 bars shorter than the bar for grapefruits.
- The graph would have 4 bars taller than the bar for apples.
- The graph would not have grapefruits and oranges as the tallest bars.
- The graph would have only 1 bar shorter than the bar for peaches.

Hence, the correct statements about the graph based on the carbohydrate contents of the fruits are:
- The graph would have 5 bars shorter than the bar for grapefruits.
- The graph would have 4 bars taller than the bar for apples.
- The graph would have only 1 bar shorter than the bar for peaches.