Question

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. 15\frac{1}{2} cups c. 10\frac{1}{2} cups d. 2\frac{1}{2} cups

Explanation:

Step1: Count number of X's at each value

There are 3 X's at $\frac{1}{2}$ cup, 2 X's at 1 cup, 1 X at $1\frac{1}{2}$ cups, 2 X's at 2 cups, 2 X's at $2\frac{1}{2}$ cups.

Step2: Calculate total flour for each value

For $\frac{1}{2}$ cup: $3\times\frac{1}{2}=\frac{3}{2}$ cups. For 1 cup: $2\times1 = 2$ cups. For $1\frac{1}{2}$ cup: $1\times1\frac{1}{2}=\frac{3}{2}$ cups. For 2 cups: $2\times2 = 4$ cups. For $2\frac{1}{2}$ cups: $2\times2\frac{1}{2}=5$ cups.

Step3: Sum up all amounts

$\frac{3}{2}+2+\frac{3}{2}+4 + 5=\frac{3 + 4+3+8 + 10}{2}=\frac{28}{2}=14\frac{1}{2}$ cups.

Answer:

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