Question - Finding Y Value Based on Proportional Relationship with X
Solution:
The image provides a mathematical relation where y = 21 when x = -3, and it asks to find y when x = -2. To solve this, we need to assume that there is a consistent relationship between x and y, such as a linear equation. Since we only have one point and no explicit equation, a key assumption here is that the relationship between x and y is directly proportional.The change in x from -3 to -2 is an increase of 1 unit. If y = 21 when x = -3, then for a proportional change, we must look at how y changes with each unit change in x.To make a proportional estimate for y when x = -2:1. Determine the unit change in x: x goes from -3 to -2, which is an increase of 1.2. Identify the proportional change in y.3. Apply this change to the given value of y.However, since we do not have any further information on how y changes with x, we cannot precisely find y when x = -2 without additional context or data points. If the question implies that y changes by the same amount for each unit change in x, we would need that rate of change. Without it, we cannot find the value of y when x = -2.
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