find the absolute change and the relative change in the following case.

the per person consumption of meat in a certain country decreased from 76.8 pounds in 2000 to 53.4 pounds in 2020.

the absolute change is pounds per person.
(simplify your answer. type an integer or a decimal.)

the relative change is %.
(type an integer or decimal rounded to the nearest tenth as needed.)

Question

find the absolute change and the relative change in the following case.

the per person consumption of meat in a certain country decreased from 76.8 pounds in 2000 to 53.4 pounds in 2020.

the absolute change is   pounds per person.
(simplify your answer. type an integer or a decimal.)

the relative change is  %.
(type an integer or decimal rounded to the nearest tenth as needed.)

Accepted Answer

{ "quality": "clear", "question_count": 2, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Absolute Change", "Relative Change" ], "current_concepts": [ "Absolute Change", "Relative Change" ] } ## Calculate the absolute change $$ \begin{aligned} \text{Initial Value} &= 76.8\ \text{New Value} &= 53.4\ \text{Absolute Change} &= \text{New Value} - \text{Initial Value}\ &= 53.4 - 76.8\ &= -23.4 \end{aligned} $$ ## Calculate the relative change $$ \begin{aligned} \text{Relative Change} &= \frac{\text{Absolute Change}}{\text{Initial Value}} \times 100\%\ &= \frac{-23.4}{76.8} \times 100\%\ &\approx -0.3046875 \times 100\%\ &\approx -30.5\% \end{aligned} $$ ## Question 1 The absolute change is -23.4 pounds per person ## Question 2 The relative change is -30.5% { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Absolute and Relative Change" ] }

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Question

Explanation:

Calculate the absolute change

Calculate the relative change

Answer:

Question 1

Question 2