Question

1. jada measures the growth of 10 tomato plants and lists the data in a table.

a. use the data in the table to create a line plot.
plant | a | b | c | d | e | f | g | h | i | j
growth (inches) | 1 2/8 | 7/8 | 1 3/8 | 1 2/8 | 5/8 | 1 | 1 2/8 | 4/8 | 6/8 | 7/8
b. 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?

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:

$\frac{7}{8}$