Question

pls help........ The linear model represents the height, f(x), of a water balloon thrown off the roof of a building over time, x, measured in seconds: During what interval(s) of the domain is the water ballon’s height decreases the fastest

Answer 1

we know that

The height decreases in the interval {3,4} and {4,6}

step 1

Find the slope at the interval {3,4}

m=(20-80)/(4-3)

m=-60 -----> is negative because is decreasing

step 2

Find the slope at the interval {4,6}

m=(0-20)/(6-4)

m=--20/2

m=-10

therefore

at the interval {3,4) the water ballon’s height decreases the fastest