Question

Find the vlues of "a" an "b" from the table, if both x and y are in proportional relationship.

• A. $\text{a}=290,\text{b}=\frac{165}{5}$
• B. $\text{a}=280,\text{b}=\frac{155}{5}$
• C. $\text{a}=290,\text{b}=\frac{155}{5}$
• D. $\text{a}=280,\text{b}=\frac{165}{5}$

Answer 1

The correct option is C $\text{a}=290,\text{b}=\frac{155}{5}$

It is already given that "x" and "y" are in a proportional relationship.

$\text{So, value of}\frac{\text{y}}{\text{x}}\text{= Constant}$

Observing the values from the table, we get:
$\frac{250}{\frac{125}{5}}=\frac{270}{\frac{135}{5}}=10$

$\text{So, Output =}10\times \text{Input}$ -----(1)

Therefore, the value of "a" will be:

$\frac{145}{5}\times 10=290=a$

$\text{Equation 1 can also written as input =}\frac{\text{Output}}{10}$

Therefore, the value of "b" will be:

$\frac{310}{10}=\frac{155}{5}=b$

$\therefore \text{"a" is 290 and "b" is}\frac{155}{5}$.