Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

a family records the amount of butter, in cups, each recipe uses. each …

Question

a family records the amount of butter, in cups, each recipe uses. each x represents 1 recipe. butter used in each recipe number line with xs at 0, 1/4, 1/2, 3/4, 1; counts: 0 has 1, 1/4 has 4, 1/2 has 1, 3/4 has 0, 1 has 2 cups what is the total amount of butter, in cups, the family uses? a 3½ cups b 4½ cups c 7 cups d 8 cups

Explanation:

Step1: Count x's at each mark

  • At 0: 1 x (butter = \( 0 \times 1 = 0 \) cups)
  • At \( \frac{1}{4} \): 4 x's (butter = \( \frac{1}{4} \times 4 = 1 \) cup)
  • At \( \frac{1}{2} \): 1 x (butter = \( \frac{1}{2} \times 1 = \frac{1}{2} \) cup)
  • At \( \frac{3}{4} \): 0 x's (butter = \( \frac{3}{4} \times 0 = 0 \) cups)
  • At 1: 2 x's (butter = \( 1 \times 2 = 2 \) cups)

Step2: Sum the amounts

Total butter = \( 0 + 1 + \frac{1}{2} + 0 + 2 \)
= \( 3 + \frac{1}{2} \)
= \( 3\frac{1}{2} \) cups

Answer:

A. \( 3\frac{1}{2} \) cups