The function f(x) = 2 • 5x can be used to represent the curve through the points (1, 10), (2, 50), and (3, 250). what is the multiplicative rate of change of the function?

5

Step-by-step explanation:

We have been given a function . We are asked to the multiplicative rate of change of the function.

We know that exponential function is in form , where,

a = Initial value,

b = Multiplicative rate of change.

Upon comparing our function with standard exponential function, we can see that the value of b is 5, therefore, the multiplicative rate of change of the function is 5.

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6