## anonymous one year ago Water coming out from a fountain is modeled by the function f(x) = −x2 + 8x + 2 where f(x) represents the height, in feet, of the water from the fountain at different times x, in seconds. What does the average rate of change of f(x) from x = 1 to x = 4 represent?

1. anonymous

A)The water travels an average distance of 3 feet from 1 second to 4 seconds. B)The water travels an average distance of 2 feet from 1 second to 4 seconds. C)The water rises up with an average speed of 3 feet per second from 1 second to 4 seconds. D)The water rises up with an average speed of 2 feet per second from 1 second to 4 seconds.

2. anonymous

@Hero @dan815

3. anonymous

@muscrat123

4. campbell_st

find the slope of the for the average rate of change between x = 1 and x= 4 1st step is find the value of f(1) then F(4) the the average rate of change is $avg ~rate~of~change = \frac{f(4) - f(1)}{4 - 1}$ then read the answer choices to see which matches

5. anonymous

i think C? IM right? @campbell_st

6. campbell_st

that's correct

7. anonymous

thank you so much can you help me with 2 more please?