Question

The given graph shows the relation between the temperature and the time for metal 1 and metal 2.

is the suitable equation for metal 2.

• A. y = 2x
• B. y = 3x
• C. y = 7x
• D. y = 3.5x

Answer 1

The correct option is C y = 7x

Equation of metal 1 $⟹y=4x$
Slope of metal 1 = $\frac{y}{x}=4$
The temparature per minute of metal 1 is $=4$
The temparature per minute of $\text{metal 2}>4$
Slope of $\text{metal 2}>4$

From the options
y = 2x : Slope = $\frac{y}{x}=2$
y = 3x : Slope = $\frac{y}{x}=3$
y = 3.5x : Slope = $\frac{y}{x}=3.5$
y = 7x : Slope = $\frac{y}{x}=7$

Only one option where slope is greater than 4
$\therefore \text{equation of metal 2 is y}=7x.$