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Explained:
To find the value of y when x = 45, we can use the given information that y = 8 when x = 3. First, let's calculate the change in x from 3 to 45. We have: Change in x = 45 - 3 = 42 Now, let's determine the corresponding change in y using the same ratio as when x changed from 3 to 45. We can set up a proportion: (Change in y) / (Change in x) = (y when x = 45 - y when x = 3) / (45 - 3) Substituting the values we know: (Change in y) / 42 = (y when x = 45 - 8) / 42 Next, we can cross-multiply to solve for the change in y: Change in y = (y when x = 45 - 8) Finally, we can add the change in y to the initial value of y to find the value of y when x = 45: y = 8 + (y when x = 45 - 8) Simplifying this equation gives us the value of y: y = (y when x = 45 - 8) + 8 Since we do not have the value of y when x = 45, we cannot determine the exact value of y. However, we know that y will be equal to the change in y plus the initial value of y.