Find the average rate of change of the function in the interval 6,13
1 answer:
Using it's concept, the average rate of change of the function on the interval [6,13] is given by:
The average rate of change of a function is given by the <u>change in the output divided by the change in the input</u>. Hence, over an interval [a,b], the rate is given as follows:
In this problem, we want to find the rate in the interval [6, 13], which is given as follows:
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Children : 144
Adults : 51
Explanation
Step 1
Set the equations
let
x represents the number of children
y represents the number of adults
charge per child:8
charge per adult:11
total people:195
then
a)the total people is 195, so
b) the total bill was $1713,so
total childrend +total adults=173
but,
total adults cost= rate*number of adults
total children cost= rate*number of childe
replacing
Step 2
solve the equations,
a) isolate the x value from equation 81) and replace in eqaution (2)
replace in equation (2)
therefore, the number of adults is 51
b) now, replace the y value into equation (1) to find x
so, the number of children is 144
I hope this helps you