If y=3 when x=10, find x when y=1.2

Answer:Here's how to solve this problem: 1. Assume a Linear Relationship: We'll assume that the relationship between x and y is linear. This means that the change in y is proportional to the change in x. 2. Find the Slope: - The slope (m) of a linear relationship is calculated as: m = (change in y) / (change in x)- In our case, the change in y is (1.2 - 3) = -1.8- The change in x is (x - 10)- Therefore, the slope is: m = -1.8 / (x - 10) 3. Use the Slope to Find x: Since we know the slope is constant for a linear relationship, we can use the initial values (y = 3 when x = 10) to find the slope: - m = (3 - 0) / (10 - 0) = 3/10 4. Set the Two Slope Expressions Equal: - -1.8 / (x - 10) = 3/10 5. Solve for x: - Cross-multiply: -1.8 * 10 = 3 * (x - 10)- Simplify: -18 = 3x - 30- Add 30 to both sides: 12 = 3x- Divide both sides by 3: x = 4 Therefore, when y = 1.2, x = 4.

Answered by minaerich53 | 2024-09-10