Answered

The table below summarizes Mendel's results for the [tex]$F_2$[/tex] generation.

\begin{tabular}{|l|l|l|}
\hline
Plant height & 787 tall & 277 short \\
\hline
Flower color & 705 purple & 224 white \\
\hline
Pod color & 428 green & 152 yellow \\
\hline
Pod shape & 882 inflated & 299 constricted \\
\hline
Seed color & 6,022 yellow & [tex]$x$[/tex] green \\
\hline
Seed shape & 5,474 smooth & 1,850 wrinkled \\
\hline
\end{tabular}

What number should replace the letter [tex]$x$[/tex] in the "Seed color" row?

A. 18,066

B. 3,011

C. 207

D. 2,001



Answer :

To determine the number that should replace the letter [tex]\( x \)[/tex] in the "Seed color" row, we need to evaluate the total number of seeds when considering both yellow and green seeds.

We are given the following options to replace [tex]\( x \)[/tex]:
- 18,066
- 3,011
- 207
- 2,001

Given data:
- Number of yellow seeds = 6,022
- Number of green seeds = [tex]\( x \)[/tex]

We'll analyze each potential total:
1. Total seeds = 18,066
2. Total seeds = 3,011
3. Total seeds = 207
4. Total seeds = 2,001

For each total, calculate the number of green seeds [tex]\( x \)[/tex]:

1. If the total seeds are 18,066:
[tex]\[ x = 18,066 - 6,022 = 12,044 \][/tex]

2. If the total seeds are 3,011:
[tex]\[ x = 3,011 - 6,022 = -3,011 \][/tex]

3. If the total seeds are 207:
[tex]\[ x = 207 - 6,022 = -5,815 \][/tex]

4. If the total seeds are 2,001:
[tex]\[ x = 2,001 - 6,022 = -4,021 \][/tex]

The only logical and non-negative solution is when the total number of seeds is 18,066. Thus, the number that should replace the letter [tex]\( x \)[/tex] in the "Seed color" row is:

[tex]\[ \mathbf{12,044} \][/tex]