the change in the scale factor is 
.Correct option C) StartFraction 45 feet over 40 feet EndFraction
<u>Step-by-step explanation:</u>
Here we have , Norma Ann planned a rectangular courtyard, as shown in the scale drawing below. A rectangle with length of 15 inches and width of 5 inches. She decides to change the width, the shorter side of the courtyard, from 45 ft to 40 ft. We need to find Which expression finds the change in the scale factor . Let's find out:
Initially the ratio of width to actual width is :
⇒ 
Now , After 45 ft is changed to 40 ft , New ratio becomes :
⇒ 
So , change in scale factor is from to i.e.
⇒ 
⇒ 
⇒
Therefore , the change in the scale factor is .Correct option C) StartFraction 45 feet over 40 feet EndFraction
Answer:
y + 6 = 2/3 (x - 2)
Step-by-step explanation:
Step 1. Find the slope
m = slope
m = change in y/change in x
m = (y2 - y1)/(x2 - x1)
points: (2, -6) & (8, -2)
m = (-2 - -6)/(8 - 2)
m = 4/6
m = 2/3
Step 2. Create the point-slope equation by using the slope and the first point
Point-slope formula: y - y1 = m(x - x1)
Where m = slope and (x1, y1) = first point
Point-slope form: y + 6 = 2/3 (x - 2)
Answer:
Jack's final bank account amount will be $54,782.50, <em>earning</em> <u>$7,459.31</u> in <em>interest</em>.
General Formulas and Concepts:
<u>Algebra I</u>
Compounded Interest Rate Formula: 
- <em>A</em> is final amount
- <em>P</em> is principle amount
- <em>r</em> is rate
- <em>n</em> is compounded rate
- <em>t</em> is time
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify given variables</em>.
<em>P</em> = $47,323.15
<em>r</em> = 0.05
<em>n</em> = 1
<em>t</em> = 3
<u>Step 2: Find Interest</u>
- [Compounded Interest Rate Formula] Substitute in variables:
- Evaluate:
∴ Jack will <em>gain</em> $7,459.31 and have a net balance of $54,782.50.
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Learn more about Algebra I: brainly.com/question/27710663
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Topic: Algebra I
8×6=48
48÷6=8
48÷8=6
I hope this helped!!!:
