Question

Y is inversely proportional to x. if y = 105 when x = 15, then the value of y when x = 9 is

Answer 1

Answer:

y = 175

Step-by-step explanation:

$\implies \text{y is inversely proportional to x} \\\\ y \propto \frac{1}{x} \\\\ y=\frac{constant}{x} \\\\ xy=constant \\\\ \boxed{x_1y_1=x_2y_2 } \\\\ \text{if y = 105 when x = 15, then the value of y when x = 9 is} \\\\ let \ x_1=15,y_1=105 \ and \ x_2=9,y_2=y \\\\ 15 \times 105=9\times y \\ \\ 1575=9y \\\\ y=\frac{1575}{9} \\\\ y=175$