The average rate of change (m) is the ratio of the change in function value to the width of the interval:
m = (f(6) - f(2))/(6 - 2)
To compute this, we need to compute f(6) and f(2).
f(6) = (0.25*6 -0.5)*6 +3.5 = 9.5
f(2) = (0.25*2 - 0.5)*2 +3.5 = 3.5
Then the average rate of change is
m = (9.5 - 3.5)/(6 - 2) = 6/4 = 1.5
The average rate of change is 1.5 thousand owners per year.
The most likely answer is D) <span>"The date that the check is written is usually a few days before it is cashed. We record when it was cashed and you record when its written".
There is usually a delay between when you write someone a check (and record it in your ledger) and when that person cashes it (when the bank records it). </span>
Let the number of nickels found be n, the number of dimes be d and the number of quarters be q.
i) "you have twice as many quarters as dimes and 42 coins in all."
means that 2d=q, and n+d+q=42
we can reduce the number of unknowns by substituting q with 2d:
n+d+q=42
n+d+2d=42
n+3d=42
We can write all n, d and q in terms of d as follows:
there are n=42-3d nickels, d dimes and q=2d quarters.
ii) In total there are $6.60 dollars,
1 nickel = 5 cent = $0.05
1 dime = 10 cent = $0.1
1 quarter = 25 cent = $0.25
thus
(42-3d)*0.05 + d*0.1 +2d*0.25= $6.60
2.1 - 0.15d+0.1d+0.5d=6.60
2.1+0.45d=6.6
0.45d=6.6-2.1=4.5
d=4.5/0.45=10
iii)
so, there are 10 dimes, 2d=2*10=20 quarters and 42-3d=42-3*10=12 nickels.
Answer: 10 dimes, 20 quarters, 12 nickels
What are you trying to find X or Y ?
<span> He could draw a diagram of a rectangle with dimensions x – 1 and x – 6 and then show the area is equivalent to the sum of x2, –x, –6x, and 6.</span>
