Assuming a linear relationship between x and, y, we express this relation as y = mx + b. Given that x=15 when y=22.5, we find a relation for m. By substituting x=20 in the equation, we find the value of y.
To write a direct equation relating x and y, we need to establish a relationship between these two numbers. In this case, we're given that when x equals 15, y equals 22.5. This suggests a linear relationship. We can express this as y = mx + b, where m is the rate of change and b is the y-intercept.
Since we have only one point, we can't find m and b directly. However, if we assume the rate of change to be constant, we can find a relation for m as m = (y - 22.5) / (x - 15).
Let's substitute the known value x = 20 into this equation. Hence, y = 20 * m + 22.5.
This is the value of y when x equals 20 under the assumption that the relationship between x and y is linear and has a constant rate of change.
Learn more about Equation Relating x and y