The average rate of change is -5 per month
<h3>How to determine the average rate of change?</h3>
The interval is given as:
July to December
From the graph, we have:
July = 110
December = 30
The average rate of a function over the interval (a, b) is calculated as:
Rate = [f(b) - f(a)]/[b - a]
So, we have:
Rate = (30 - 110)/(December- July)
This gives
Rate = (30 - 110)/(12 - 7)
Evaluate
Rate = -16
Hence, the average rate of change is -5 per month
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You will need to work left to right.
p - 10p + -5p +14p - -9p - 2 = -20
-9p + -5p +14p - -9p - 2 = -20
-14p +14p - -9p - 2 = -20
0p- -9p - 2 = -20
9p - 2 = -20
Then you will want to eliminate 2 by adding it to both sides
9p = -18
Then divide by 9 to isolate P
p=-2
The two expressions that are comparable to one another for the total cost of the cloth are and
(7.99 × 7/3) and 18.64
This is further explained below.
<h3>What is
expressions ?</h3>
In most cases, the two expressions that are comparable to one another for the total cost of the cloth are
(7.99 × 7/3) and 18.64
Total cost = Cost of fabric per yard * Number of fabrics
= 7.99 × 2 1/3
= (7.99 × 7/3)
= 55.93 / 3
= 18.64
As a result, the two expressions that are comparable to one another for the total cost of the cloth are and
(7.99 × 7/3) and 18.64
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Answer:
54
Step-by-step explanation:
to evaluate substitute b = 18 into 3b
3b = 3 × 18 = 54
Comment
This is an area problem. The key words are 120 square feet and 12 feet longer.
And of course width is a key word when you are reading this.
Formula
Area = L * W
Givens
W = W
L = W + 12
Substitute and Solve
Area = L* W
120 = W*(W + 12)
W^2 + 12W = 120 square feet
w^2 + 12w - 120 = 0
This does not factor easily. I would have thought that a graph might help but not if the dimension has to be to the nearest 1/100 of a foot. The only thing we can do is use the quadratic formula.
a = 1
b = 12
c = - 120
w = [ -b +/- sqrt(b^2 - 4ac) ]/(2a)
w = [-12 +/- sqrt(12^2 - 4*(1)(-120)] / 2*1
w = [-12 +/- sqrt(144 - (-480)]/2
w = [-12 +/- sqrt(624)] / 2
w = [- 12 +/- 24.979992] / 2 The minus root has no meaning whatever.
w = (12.979992) / 2
w = 6.489995 I'll round all this when I get done
L = w + 12
L = 6.489995 + 12
L = 18.489995
check
Area = L * W
Area = 6.489995*18.489995
Area = 119.999935 The difference is a rounding error
Answer
L = 18.489995 = 18.49 feet
W = 6.489995 = 6.49 feet
Note: in the check if you round first to the answer, LW = 120.0001 when you find the area for the check. Kind of strange how that nearest 1/100th makes a difference.
