Question

The relation between number of tires and their prices (in $\$$) is given by the equation, y = 185x. Choose the equation that represents the price per tire 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 $\$180$.

$\$180$ 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 greater than $\$185$. So, the third option is correct.

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

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

$\$184$ is greater than $\$185$. So, the fourth option is also incorrect.

Hence, we can conclude that $\$190$ dollars is greater than $\$185$.

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