Question

For the function y = f(x) = x² and the point x = 10, a. give the percentage change in y for a 10

Answer 1

The percentage change in y for a 10% change in x can be calculated using the formula: Percentage Change = (Change in y / Initial y) x 100. In this case, the function is y = x². When x = 10, y = 100. When x changes by 10%, it becomes 11. So, the percentage change in y is 21%.

Step-by-step explanation:

The percentage change in y for a 10% change in x can be calculated using the formula:

Percentage Change = (Change in y / Initial y) x 100

In this case, the function is y = x². So, when x = 10, y = 10² = 100. When x changes by 10%, it becomes 11. So, the change in y is (11² - 10²) = 21. The initial y is 100. Therefore, the percentage change is (21 / 100) x 100 = 21%.