If it takes 4 men 6 hours to repair a road, how long will it take 3 men to do the job if they work at the same rate ?

8 Hours

Step-by-step explanation:

Let the the length of the road x

It takes 4 men 6 hours to repair a road and they work at the same rate.

So, each one will repair 0.25x

And the rate to repair the road will be 6 hour per 0.25x.

rate =

Now, if 3 men will do the job

each one of them will repair (1/3) x with the same previous rate

∴

So, The 3 men will do the job at 8 hours.

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

-232

step-by-step explanation: