Unit price means the cost per unit.
I'll provide an example.
If 4 bars of soap cost $2.35, find the unit price. Round to the nearest cent if necessary.
Remember that the unit price is the cost per unit which in this case is the cost per bar of soap. Since $2.35 is the cost for 4 bars of soap, to find the cost per bar of soap, we divide 4 into $2.35.
When we do this, we get an answer of 0.587 which rounds up to 59 cents.
Therefore, the unit price for soap is 59 cents.
Answer:
The average rate of change of is 12
The average rate of change of is 10
Step-by-step explanation:
The average rate of change of f(x) over an interval between 2 points (a ,f(a)) and (b ,f(b)) is the slope of the secant line connecting the 2 points.
We can calculate the average rate of change between the 2 points by
-------------------(1)
(1) The average rate of change of the function over the interval 1
≤
x
≤
5
f(a) = f(1)
f(1) =1+6+13
f(a) = 20---------------------(2)
f(b) = f(5)
f(5) = 25 +30 +13
f(5) = 68-----------------------(3)
The average rate of change between (1 ,20) and (5 ,68 ) is
Substituting eq(2) and(3) in (1)
=
=
=
=12
This means that the average of all the slopes of lines tangent to the graph of f(x) between (1 ,20) and (5 ,68 ) is 12
(2) The average rate of change of the function over the interval -1
≤
x
≤
5
f(a) = f(-1)
f(1) =1-6+13
f(1) = 8---------------------(4)
f(b) = f(5)
f(5) = 25 +30 +13
f(5) = 68-----------------------(5)
The average rate of change between (-1 ,8) and (5 ,68 ) is
Equation (1) becomes
On substituting the values
=
=
=
= 10
This means that the average of all the slopes of lines tangent to the graph of f(x) between (-1 ,8) and (5 ,68 ) is 10
