Kareem wants to write an equation for the data in the table below.
2 answers:
We are given with the table of x and y values
We use the given y values to find the required equation
When the first difference between the y values are same then it is linear.
When the common ratio between y values are same then it is exponential.
When the second difference of y values are same then it is quadratic.
Lets find the difference between y values
The difference is not same . so we cannot choose y= mx+b
Now we find the common difference between y values
The common ratio is 2. So its exponential.
The required equation
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48. The surface area of a cylinder is given by
... A = 2πr² + 2πrh = 2πr(r+h)
For r = 13 mi and h = 7 mi, this becomes
... A = 2π(13 mi)(13 mi + 7 mi) = 520π mi²
The surface area of the cylinder is 520π mi² ≈ 1634 mi².
49. The surface area of a rectangular prism is
... A = 2(LW + H(L+W))
For L = 20 m, W = 10 m, H = 7 m, this becomes
... A = 2((20 m)(10 m) + (7 m)(20 m + 10 m)) = 2(200 m² + 210 m²) = 820 m²
The surface area of the prism is 820 m².
50. The formula is the same as for problem 48.
For r = 10 m and h = 13 m, this becomes
... A = 2π(10 m)(10 m + 13 m) = 460π m² ≈ 1445 m²
The surface area of the cylinder is 460π m² ≈ 1445 m².
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When calculations are repetitive, it is convenient to let a calculator or spreadsheet do them.
