Question

5
the line plot shows the amount of flour needed to complete 10 different recipes. each x represents 1 recipe.
flour in recipes
how many cups of flour is needed to complete all 10 recipes?
a. $14\frac{1}{2}$ cups
b. $10\frac{1}{2}$ cups
c. $2\frac{1}{2}$ cups
d. $15\frac{1}{2}$ cups

Explanation:

Step1: Count X at each value

• At $\frac{1}{2}$: 3 X (3 recipes), total flour: $3\times\frac{1}{2}=\frac{3}{2}$
• At $1$: 2 X (2 recipes), total flour: $2\times1 = 2$
• At $1\frac{1}{2}$: 1 X (1 recipe), total flour: $1\times1\frac{1}{2}=1\frac{1}{2}$
• At $2$: 2 X (2 recipes), total flour: $2\times2 = 4$
• At $2\frac{1}{2}$: 1 X (1 recipe), total flour: $1\times2\frac{1}{2}=2\frac{1}{2}$
• At $3$: 1 X (1 recipe), total flour: $1\times3 = 3$

Step2: Sum all amounts

Convert to improper fractions or add mixed numbers:
$\frac{3}{2}+2 + 1\frac{1}{2}+4 + 2\frac{1}{2}+3$
$=\frac{3}{2}+\frac{4}{2}+\frac{3}{2}+\frac{8}{2}+\frac{5}{2}+\frac{6}{2}$ (convert to halves)
$=\frac{3 + 4+3 + 8+5 + 6}{2}=\frac{29}{2}=14\frac{1}{2}$

Answer:

A. $14\frac{1}{2}$ cups