An amusement park issued a coupon to increase the number of visitors to the park each week. The function below represents the number of visitors at the amusement park x weeks after the issuance of the coupon.

V(x) = 500(1.4)x

What is the approximate average rate of change over the interval [2, 6]?

Question

An amusement park issued a coupon to increase the number of visitors to the park each week. The function below represents the number of visitors at the amusement park x weeks after the issuance of the coupon.

V(x) = 500(1.4)x

What is the approximate average rate of change over the interval [2, 6]?

Vocaloid · Answer

average rate of change over [2,6] is (V(6) - V(2)) / (6 - 2)

calculate V(6) and V(2) by plugging in x = 6 and x = 2 into the function. from there, plug them into the average rate of change formula.