Question

If 5x 5x 3 = (124)(5y), what is y in terms of x ?

Answer 1

The value of y in terms of x is  "$\dfrac{1}{24}$ × $x^{4}$" .

Step-by-step explanation:

We have,

5x × 5$x^{3}$ = (124)(5y)

⇒ (5 × 5) × (x·$x^{3}$ ) = (124 × 5) y

⇒ 25 × $x^{3 + 1}$ = 600·y

⇒ 25 × $x^{4}$ = 600·y

⇒ y = $\dfrac{25}{600}$ × $x^{4}$

∴ y = $\dfrac{1}{24}$ × $x^{4}$ , this is y in terms of x.

Hence, the value of y in terms of x is  "$\dfrac{1}{24}$ × $x^{4}$" .