Question

$\text{Complete the table for the given linear}$
$\text{relationship:}y=\frac{125}{225}x+200$

x	y
81	A
B	5000

• A. A = 235, B = 8460
• B. A = 245, B = 8640
• C. A = 235, B = 8640
• D. A = 245, B = 8440

Answer 1

The correct option is B A = 245, B = 8640

$\text{On substituting x = 81 in the equation}$
$\text{y}=\frac{125}{225}x+200,\text{we get:}$

$\Rightarrow \text{y}=\frac{125}{225}\times 81+200$

$\Rightarrow \text{y}=45+200$

$\Rightarrow \text{y}=245=A$

Therefore, the valus of A is 245.

$\text{On substituting y = 5000 in the equation}$
$\text{y}=\frac{125}{225}x+200,\text{we get:}$

$\Rightarrow \text{5000}=\frac{125}{225}x+200$

$\Rightarrow \text{5000 - 200}=\frac{125}{225}x$

$\Rightarrow \text{4800}=\frac{125}{225}x$

$\Rightarrow \text{4800}\times \frac{225}{125}=x$

$\Rightarrow x=8640=B$

Therefore, the valus of B is 8640.

Hence the correct option is Option (A).