:3 what is the average rate of change of the function f(x)=4(2)x from x = 0 to x = 2?

Please, Abby, use " ^ " to denote exponentiation: f(x) = 4(2)^x.

The rate of change of this function, on [0,2], is

4(2)^2 - 4(2^0) 16 - 4

= = 6 units per unit change in x

2 - 0 2

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.