Pooja writes the ratio x3=y4 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
The ratio x3=y4 means that x is three times as much as y, raised to the power of 4. We can write this as:
x/y^4 = 3/1
If the new value of x is 15 units, we can substitute this into the equation:
15/y^4 = 3/1
Cross-multiplying, we get:
15 = 3y^4
Dividing both sides by 3:
5 = y^4
Taking the fourth root of both sides:
y = 1.49535... units (rounded to 5 decimal places)
Therefore, the value of y is approximately 1.49535 units.