The length of the building in the scale drawing is 31. 25 Inches
<h3>How to determine the value</h3>
From the information given, we have that;
- Scale drawing was used
- 0. 25 inches represents 2 feet
- The length of the building is 250 feet
Then,
If 0. 25 inches = 2 feet
Then x inches = 250 feet
cross multiply
x × 2 = 0. 25 × 2500
Multiply through, we have;
2x = 62. 5
Make 'x' the subject by dividing both sides by 2
2x/2 = 62. 5/ 2
x = 31. 25 Inches
Thus, the length of the building in the scale drawing is 31. 25 Inches
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A
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Find rates of change until you find a constant.
dy/dx=1,2,3,4,5,6
d2y/dx2=1,1,1,1,1
So the acceleration, d2y/d2x, is constant. This means that this is a quadratic sequence of the form a(n)=an^2+bn+c. So we can set up a system of equations to solve for the values of a,b, and c. Using the first three points, (1,1), (2,2), and (3,4) we have:
9a+3b+c=4, 4a+2b+c=2, and a+b+c=1 getting the differences...
5a+b=2 and 3a+b=1 and getting this difference...
2a=1, so a=1/2 making 5a+b=2 become:
2.5+b=2, so b=-1/2, making a+b+c=1 become:
1/2-1/2+c=1, so c=1 so the rule is:
a(n)=0.5x^2-0.5x+1 or if you prefer to not have decimals
a(n)=(x^2-x+2)/2
What you have to do is add all of the numbers:
5.98 + 16.39 + 2.25 + 2.29 =
$26.91
Hope that helps!
Close enough, it would be 36+6x.