Question

Select the correct answer.
The variable s varies directly as the square of t. When s= 4, t= 12. Nick's work finding the value of twhen s = 48 is shown:
s = kt2
12 = k : 42
12 = 16k
0.75 = k
48 = 0.752
64 = t2
8 = t
What is the first error, if any, in Nick's work?
OA. He did not make any errors.
ОВ. He used an equation that models inverse variation instead of direct variation.
OC. He substituted incorrectly when calculating the constant of variation.
OD.
He made an error when isolating t.

Answer 1

Its C. He substituted incorrectly when calculating the constant of variation.

Reason: He said so

Answer 2

The first error in Nick's work is he substituted incorrectly when calculating the constant of variation. The correct answer is C.

What is variable?

The unknown term which is need to be calculated using system of equations is called variable.

Given  s= 4, t= 12 to calculate value of k in the equation

s = kt²

4 = k (12)²

k = 0.02777

Thus, the first error he made is substituted incorrect values while calculating constant k.

Learn more about variable.

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