Answer:
Step-by-step explanation:
By definition, the average rate of change of a function f over an interval [a,b] is given by

compute the quantity

for all the three function
Average rate of change of f:
We will simply use the table to check the values for f(3) and f(0):

Average rate of change of g:
We will use the graph to to check the values for g(3) and g(0):

Average rate of change of h:
We can plug the values in the equation to get h(3) and h(0):

And so the average rate of change is

In seven years her mother will be 38 +7 = 45 years old.
She will be 5 times as old, so divide 45 by 5: 45/5 = 9. Elaine will be 9 years old then, so she is 9-7 = 2 years old now.
There will be a 25 grams left after 3240 years.
The half-life of Radium-226 is 1620 years. If we divide 3240 by 1620 the answer is 2. So that means the amount of Radium-226 will divide in half twice.
100 / 2 = 50 / 2 = 25
Answer:
<u>4 hours</u>
Step-by-step explanation:
Equations :
Larry : <u>y = 20x + 90</u>
Barry : <u>y = 30x + 50</u>
Equate both to find the number of hours at which they both charge the same :
- 20x + 90 = 30x + 50
- 30x - 20x = 90 - 50
- 10x = 40
- x = <u>4 hours</u>