During the first seconds after takeoff, a rocket traveled 208 kilometers in 50 minutes at al
constant rate. suppose a penny is dropped from a skyscraper and could travel 153 kilometers
in 5 hour at a constant rate. which of these objects has a faster unit rate per hour? how much
faster?

The rocket has a faster unit rate and is much faster than the penny

Step-by-step explanation:

Find the unit rate of each object and the compare the results

step 1

Find the unit rate per hour of the rocket

To find the unit rate divide the total distance by the time

Let

d -----> the distance in km

t -----> the time in hours

we have

Find the unit rate

step 2

Find the unit rate per hour of the penny

To find the unit rate divide the total distance by the time

Let

d -----> the distance in km

t -----> the time in hours

we have

Find the unit rate

step 3

Compare the unit rates

The units rate of rocket is

The unit rate of penny is

Find the difference

therefore

The rocket has a faster unit rate and is much faster than the penny

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50

this is answer of 144 cubic meters