A cell phone provider offers a plan that costs $30 per month plus $0.20 per text message sent or received. A comparable plan costs $40 per month but offers unlimited text messaging. Complete parts a. and b. below. a. How many text messages would have to be sent or received in order for the plans to cost the same each month?
In order for the plans to cost the same, *blank* text messages would have to be sent or received.

part a= you would have to send 5 text messages to have the same price.

Part B= 5 messages

  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).