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In the formula y = k x^{3}, k is a constant. If y = 24 when x = 2, what is the value of y when x = 5 ?

Explanation	Calculations	Help
$We identify that $\textbf{"y = k x^3"}$ shows how y varies with x by a constant k.$	$y = k \times x^{3}$
$We substitute "y = 24" and "x = 2" into the equation and solve for the constant k.$	$24 = k \times 2^{3} = k \times 8 k = \frac{24}{8} k = 3$	Theory & Tactics Method Card EQUA1-A Click to view full details
$We substitute "k = 3" and "x = 5" into the equation and calculate y.$	$y = 3 \times 5^{3} = 3 \times 125 = 375$

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C

In the formula y = k x^{3}, k is a constant. If y = 24 when x = 2, what is the value of y when x = 5 ?

Explanation	Calculations	Help
$We identify that $\textbf{"y = k x^3"}$ shows how y varies with x by a constant k.$	$y = k \times x^{3}$
$We substitute "y = 24" and "x = 2" into the equation and solve for the constant k.$	$24 = k \times 2^{3} = k \times 8 k = \frac{24}{8} k = 3$	Theory & Tactics Method Card EQUA1-A Click to view full details
$We substitute "k = 3" and "x = 5" into the equation and calculate y.$	$y = 3 \times 5^{3} = 3 \times 125 = 375$

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C