Question

The given graph shows the relationship between the production of cars and the time taken for production (in months) for Company A and Company B.


Which company produces more cars?

• A. Company A
• B. Company B
• C. Both companies produce same number of cars.
• D. Can't be determined

Answer 1

The correct option is A Company A

Let us find the slope for both the companies.

In case of Company A:


Let us consider the points (2,12) and (4,24).
$\text{∴ Slope of Company A =}\frac{Rise}{Run}$
$=\frac{Changeiny}{Changeinx}$
$=\frac{y_2-y_1}{x_2-x_1}$
$=\frac{24-12}{4-2}$
$=\frac{12}{2}$
$=6$

In case of Company B:


Let us consider the points (3,9) and (6,18).
$\text{∴ Slope of Company B =}\frac{Rise}{Run}$
$=\frac{Changeiny}{Changeinx}$
$=\frac{y_2-y_1}{x_2-x_1}$
$=\frac{18-9}{6-3}$
$=\frac{9}{3}$
$=3$

$\because 9>3$
So, slope of Company A is greater than Company B.

We know, greater the slope, greater will be the production.

∴ Company A produces more cars than Company B.