The function f of x is equal to 2 times 5 to the x th power can be used to represent the curve through the points 1 comma 10 , 2 comma 50 , and 3 comma 250 What is the multiplicative rate of change of the function?

For an exponential function in the form f(x) = a · b^x, the multiplicative rate of change is the base b. Here f(x) = 2 · 5^x, so the multiplicative rate of change is 5. This also matches the values: 50 ÷ 10 = 5 and 250 ÷ 50 = 5. The correct choice is 5.

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