Question

12
mr. washington’s science scholars were growing sunflowers. they were tracking the sunflower’s growth in inches over a week. you can see how much each of their flowers grew in the line plot below.

length (inches)

what is the difference in growth, in inches, between the plant that grew the most and the plant that grew the least?

a (\frac{1}{4})
b (\frac{2}{4})
c (\frac{3}{4})
d (1)

Explanation:

Step1: Identify max and min growth

From the line plot, the maximum growth is \( 1 \) (or \( \frac{4}{4} \)) inch, and the minimum growth is \( \frac{1}{4} \) inch.

Step2: Calculate the difference

Subtract the minimum from the maximum: \( 1 - \frac{1}{4} = \frac{4}{4} - \frac{1}{4} = \frac{3}{4} \)? Wait, no, wait. Wait, the maximum is \( 1 \) (which is \( \frac{4}{4} \)) and the minimum is \( \frac{1}{4} \)? Wait, no, looking at the line plot: the first mark is \( \frac{1}{4} \) (with two Xs), then \( \frac{2}{4} \) (three Xs), \( \frac{3}{4} \) (four Xs), and \( 1 \) (two Xs). Wait, so the minimum growth is \( \frac{1}{4} \) and the maximum is \( 1 \) (which is \( \frac{4}{4} \))? Wait, no, wait: the values on the line plot are \( \frac{1}{4} \), \( \frac{2}{4} \), \( \frac{3}{4} \), and \( 1 \) (which is \( \frac{4}{4} \)). Wait, but the maximum growth is \( 1 \) (since there are Xs at \( 1 \)) and the minimum is \( \frac{1}{4} \)? Wait, no, wait: the first Xs are at \( \frac{1}{4} \), so the minimum growth is \( \frac{1}{4} \), and the maximum is \( 1 \). Then the difference is \( 1 - \frac{1}{4} = \frac{3}{4} \)? Wait, but let's check again. Wait, the problem says "the plant that grew the most" and "the plant that grew the least". So the maximum growth value is \( 1 \) (since \( 1 \) is the rightmost on the line plot) and the minimum is \( \frac{1}{4} \) (leftmost). Then the difference is \( 1 - \frac{1}{4} = \frac{3}{4} \)? Wait, but let's compute \( 1 - \frac{1}{4} \). \( 1 \) is \( \frac{4}{4} \), so \( \frac{4}{4} - \frac{1}{4} = \frac{3}{4} \). Wait, but let's confirm the values. The line plot has:

• \( \frac{1}{4} \): two Xs (so growth of \( \frac{1}{4} \) inches)
• \( \frac{2}{4} \): three Xs (growth of \( \frac{2}{4} \) inches)
• \( \frac{3}{4} \): four Xs (growth of \( \frac{3}{4} \) inches)
• \( 1 \): two Xs (growth of \( 1 \) inch, which is \( \frac{4}{4} \))

So the minimum growth is \( \frac{1}{4} \), maximum is \( 1 \) (or \( \frac{4}{4} \)). Then the difference is \( 1 - \frac{1}{4} = \frac{3}{4} \). Wait, but let's check the answer options. Option C is \( \frac{3}{4} \). So that's the answer.

Wait, but let's do the calculation again:

Maximum growth: \( 1 \) (which is \( \frac{4}{4} \))

Minimum growth: \( \frac{1}{4} \)

Difference: \( 1 - \frac{1}{4} = \frac{4}{4} - \frac{1}{4} = \frac{3}{4} \)

Answer:

\(\frac{3}{4}\) (Option C)