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In Mathematics / High School | 2025-07-08

Find the value of the constant inversely proportional to e, given c = 200 when d = 4 and e = 2. A. 200 B. 100 C. 50 D. 25

Asked by Neneeeeeeeee980

Answer (1)

To solve this problem, we need to understand the relationship between the constants c, d, and e given in the context where a variable is inversely proportional to another variable.
The problem states that the value of the constant is inversely proportional to e. This implies a relationship of the form:
c = k × e 1 ​
where k is the constant of proportionality.
Given:

c = 200
e = 2

Substituting these values into the equation:
200 = k × 2 1 ​
To find k , we solve the equation above:
Multiply both sides by 2 to isolate k :
k = 200 × 2
k = 400
However, note that this implies the given data may not perfectly align with the choices provided since our computed value of k is 400, and the multiple choice answers do not include this value.
Therefore, assuming the question's context or given conditions might slightly differ or are part of a typographical error beyond options, the answer derived with the provided calculations remains accurate for the described conditions.
Nonetheless, none of the options A, B, C, or D corresponds directly to this calculated k without additional context clarification.

Answered by LiamAlexanderSmith | 2025-07-21