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

\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 the data given in the table to determine which statement accurately describes the graph.

The given data is:

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

1. Bars shorter than the bar for grapefruit (24 grams):

To determine if there are only four bars shorter than the bar for grapefruits, we look for all the values less than 24 grams:

- Apples: 17 grams (shorter)
- Cherries: 19 grams (shorter)
- Oranges: 21 grams (shorter)
- Peaches: 16 grams (shorter)
- Watermelons: 12 grams (shorter)

There are 5 bars (Apples, Cherries, Oranges, Peaches, Watermelons) that are shorter than the bar for grapefruits. This statement is false.

2. Bars taller than the bar for apples (17 grams):

To determine if there are five bars taller than the bar for apples, we look for all the values greater than 17 grams:

- Bananas: 34 grams (taller)
- Cherries: 19 grams (taller)
- Grapefruit: 24 grams (taller)
- Oranges: 21 grams (taller)

There are 4 bars (Bananas, Cherries, Grapefruit, Oranges) that are taller than the bar for apples. This statement is false.

3. Grapefruits and oranges as the tallest bars:

We need to check the highest values in the table. The carbohydrates content for grapefruits and oranges are:

- Grapefruit: 24 grams
- Oranges: 21 grams

The highest values in the table are 34 grams for bananas and 24 grams for grapefruit. Therefore, this statement is also false because oranges are not one of the tallest.

4. Bars shorter than the bar for peaches (16 grams):

To determine if there is only one bar shorter than the bar for peaches, we look for all the values less than 16 grams:

- Watermelons: 12 grams (shorter)

There is 1 bar (Watermelons) that is shorter than the bar for peaches. This statement is true.

Based on the analysis above, the only correct statement describing the graph is:

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