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Pooja writes the ratio x3=y/4

to help her increase the size of a two-dimensional shape. If the new value of x
is 15 units, what will be the value of y
?(1 point)
units

1 answer

To solve the equation \(x^3 = \frac{y}{4}\) for \(y\) when \(x = 15\), we first substitute \(x\) with 15 in the equation.

  1. Substitute \(x = 15\): \[ (15)^3 = \frac{y}{4} \]

  2. Calculate \(15^3\): \[ 15^3 = 3375 \]

  3. Now, the equation becomes: \[ 3375 = \frac{y}{4} \]

  4. To find \(y\), multiply both sides by 4: \[ y = 3375 \times 4 \]

  5. Calculate \(y\): \[ y = 13500 \]

Thus, the value of \(y\) is \(13500\) units.