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

\begin{tabular}{|c|c|}
\hline
Fruit & Carbohydrates (g) \\
\hline
Apples & 34 \\
\hline
Bananas & 19 \\
\hline
Cherries & 24 \\
\hline
Grapefruit & 21 \\
\hline
Oranges & 16 \\
\hline
Peaches & 12 \\
\hline
Watermelons & 17 \\
\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 provided information step-by-step to determine whether each statement is true or false.

1. The graph would have only four bars shorter than the bar for grapefruits:
- The amount of carbohydrates in Grapefruits is 21.
- We need to count how many fruits have carbohydrate amounts less than 21:
- Bananas (19) < 21
- Oranges (16) < 21
- Peaches (12) < 21
- Watermelons (17) < 21
- Total: Bananas, Oranges, Peaches, and Watermelons - 4 fruits.
- This statement is TRUE.

2. The graph would have five bars taller than the bar for apples:
- The amount of carbohydrates in Apples is 34.
- We need to count how many fruits have carbohydrate amounts greater than 34:
- Bananas (19) < 34
- Cherries (24) < 34
- Grapefruit (21) < 34
- Oranges (16) < 34
- Peaches (12) < 34
- Watermelons (17) < 34
- Total: No fruits have carbohydrates greater than 34.
- This statement is FALSE.

3. The graph would have grapefruits and oranges as the tallest bars:
- The tallest bar means fruits with the highest carbohydrate value.
- Checking all fruits, Apples have the highest amount (34).
- Neither Grapefruit (21) nor Oranges (16) are the tallest.
- This statement is FALSE.

4. The graph would have only one bar shorter than the bar for peaches:
- The amount of carbohydrates in Peaches is 12.
- We need to count how many fruits have carbohydrate amounts less than 12.
- In this case, no fruit has a carbohydrate amount less than 12.
- This statement is FALSE.

Thus, based on the information given and the analysis:

- Statement 1 is TRUE: The graph would have only four bars shorter than the bar for grapefruits.
- Statements 2, 3, and 4 are FALSE: The graph would not have five bars taller than the apples; grapefruits and oranges are not the tallest bars; there are no fruits with bars shorter than the bar for peaches.