What is the average rate of change of the function g(x) = 3(2x) - 6 over the interval [0,3]? show all work.

The average rate of change (m) of function g(x) on interval [a, b] is given by

... m = (g(b) -g(a))/(b -a)

Here, we have

so the average rate of change is

... m = (723 -(-5))/(3 - 0) = 728/3 = 242 2/3

The average rate of the function g(x)=6

Step-by-step explanation:

We are given that a function on the interval [0,3]

We have to find the value of rate of change of the given  function over the interval [0,3]

To find the value of average rate of change of the function we apply slope formula

Average rate=Slope=m=

Let a=0, b=3

Now,

g(b)=

Now, the average rate of the function g(x)=

Average rate of the function g(x)=

Average rate of the function g(x)=

Hence, the average rate of the function g(x)=6

Answer :6

let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt

if the probability is 1/12, 75 people will receive a $25 gift card

step-by-step explanation: