John can create 3 apps in 6 weeks while ben can do the same job in 2 weeks. how many weeks would it take them to create 10 apps together? plzzz answer i rlly need

5 weeks

Step-by-step explanation:

John creates apps at the rate ...

... (3 apps)/(6 weeks) = 1/2 app/week

Ben creates apps at the rate ...

... (3 apps)/(2 weeks) = 3/2 app/week

Together, they create ...

... (1/2) app/week + (3/2) app/week = 2 app/week

So, the time for 10 apps is ...

... (10 app)/(2 app/week) = 5 week

Comment on the problem

If the guys actually work at a uniform rate like this, the result after 5 weeks will be 9 completed apps and 2 half-completed apps. Their rate is 10 apps in 5 weeks, but their actual output in that time period may not be 10 completed apps.

One should beware of the "mythical man-month." Rates of job completion depend on many factors. Individual average rates cannot always be summed when folks "work together."

  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).