5. jada measures the growth of 10 tomato plants and lists the data in a table.\na. use the data in the table…

5. jada measures the growth of 10 tomato plants and lists the data in a table.\na. use the data in the table to create a line plot.\nplant | a | b | c | d | e | f | g | h | i | j\ngrowth (inches) | 1 2/8 | 7/8 | 1 3/8 | 1 2/8 | 5/8 | 1 | 1 2/8 | 4/8 | 6/8 | 7/8\nb. what is the difference in inches between the growth of the plant with the greatest amount of growth and the plant with the least amount of growth?

5. jada measures the growth of 10 tomato plants and lists the data in a table.\na. use the data in the table to create a line plot.\nplant | a | b | c | d | e | f | g | h | i | j\ngrowth (inches) | 1 2/8 | 7/8 | 1 3/8 | 1 2/8 | 5/8 | 1 | 1 2/8 | 4/8 | 6/8 | 7/8\nb. what is the difference in inches between the growth of the plant with the greatest amount of growth and the plant with the least amount of growth?

Answer

Explanation:

Step1: Identify the greatest and least growth values

The growth values are $1\frac{2}{8}, \frac{7}{8}, 1\frac{3}{8}, 1\frac{2}{8}, \frac{5}{8}, 1, 1\frac{2}{8}, \frac{4}{8}, \frac{6}{8}, \frac{7}{8}$. Convert mixed - numbers to improper fractions: $1\frac{2}{8}=\frac{10}{8}$, $1\frac{3}{8}=\frac{11}{8}$, $1=\frac{8}{8}$. The values are $\frac{10}{8}, \frac{7}{8}, \frac{11}{8}, \frac{10}{8}, \frac{5}{8}, \frac{8}{8}, \frac{10}{8}, \frac{4}{8}, \frac{6}{8}, \frac{7}{8}$. The greatest value is $\frac{11}{8}$ (plant C) and the least value is $\frac{4}{8}$ (plant H).

Step2: Calculate the difference

The difference $d$ between two fractions is $d=\frac{11}{8}-\frac{4}{8}$. Using the rule for subtracting fractions with the same denominator $\frac{a}{b}-\frac{c}{b}=\frac{a - c}{b}$, we have $d=\frac{11 - 4}{8}=\frac{7}{8}$.

Answer:

$\frac{7}{8}$