Question

Y

Answer 1

Answer:

x = 400 when y = 100

Step-by-step explanation:

This is a question in relation to direct variation.

y ∝ $\sqrt{x}$

y = k $\sqrt{x}$

Given that, y = 45, x = 81. Then;

45 = k $\sqrt{81}$

45 = 9k

k = $\frac{45}{9}$

k = 5

Thus the relationship among the variables is;

y = 5 $\sqrt{x}$

If y = 100, then;

100 = 5 $\sqrt{x}$

$\sqrt{x}$ = $\frac{100}{5}$

$\sqrt{x}$ = 20

x = $(20)^{2}$

x = 400

Therefore, x = 400 when y = 100.