Question

The relation between the number of tires and their prices (in ₹) is given by the equation, $y$ = 185$x$. Choose the equation that represents the price per tyre greater than ₹185.

• A. $y=180x$
• B. $y=175x$
• C. $y=190x$
• D. $y=184x$

Answer 1

The correct option is C $y=190x$

We know,
$\text{Unit rate}=\text{Slope}=\frac{y}{x}=\frac{Price}{Numberoftires}$

Given equation,
$\text{y}=185x⟹\frac{y}{x}=185$

In case of the first option,
$\text{y = 180x}⟹\text{Unit rate}=\frac{\text{y}}{\text{x}}=180$

$\therefore$ The price per tire is ₹180.

We know, ₹180 is less than ₹185. So, the first option is incorrect.

In case of the second option,
$\text{y = 175x}⟹\text{Unit rate}=\frac{\text{y}}{\text{x}}=175$

$\therefore$ The price per tire is ₹175.

₹175 is less than ₹185. So, the second option is also incorrect.

In case of the third option,
$\text{y = 190x}⟹\text{Slope}=\frac{\text{y}}{\text{x}}=190$

$\therefore$ The price per tire is ₹190.

₹190 is more than ₹185. So, the third option is correct.

In the fouth option,
$\text{y = 184x}⟹\text{Slope}=\frac{\text{y}}{\text{x}}=184$

$\therefore$ The price per tire is ₹184.

₹184 is less than ₹185. So, the fourth option is also incorrect.

Hence, we conclude that ₹190 is greater than ₹185.

$\therefore$ Equation with a greater price per tire is $y$ = 190$x$.