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problems 7–8: draw a diagram to represent each situation. 7. the amount…

Question

problems 7–8: draw a diagram to represent each situation.

  1. the amount of flour that the bakery used this month increased 40% compared to last month.
  2. the amount of milk that the bakery used this month decreased 75% compared to last month.
  3. at the beginning of the month, there were 80 ounces of peanut butter in the pantry. since then, a family has eaten 30% of it. which expression represents the ounces of peanut butter left in the pantry?

a. 0.7 • 80
b. 0.3 • 80
c. 8 − 0.30
d. (1 + 0.3) • 80

Explanation:

Response
For Problems 7-8:
Brief Explanations
Problem 7:
  1. Represent last month's flour use as a 10-unit bar (100%).
  2. Add 4 extra units (40% increase) to show this month's total.
Problem 8:
  1. Represent last month's milk use as a 4-unit bar (100%).
  2. Cross out 3 units (75% decrease) to show remaining milk.

Step1: Find remaining percentage

Remaining % = $100\% - 30\% = 70\% = 0.7$

Step2: Calculate remaining ounces

Remaining = $0.7 \times 80$

Answer:

Diagram for Problem 7:
Last Month: ■■■■■■■■■■ (100% = 10 units)
This Month: ■■■■■■■■■■ + ■■■■ (140% = 14 units)
Diagram for Problem 8:
Last Month: ■■■■ (100% = 4 units)
This Month: ■ (25% = 1 unit; 3 units crossed out)

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For Problem 9: