Question

The table and the graph represent the data for bearing produced vs. time taken for Company A and Company B respectively.

Company A:

No. of bearings produced	180	220
Time (in hours)	9	11

Company B:

Compare their production capacities.

• A. Company A > Company B
• B. Company A < Company B
• C. Both are equal
• D. Cannot be determined

Answer 1

The correct option is B Company A < Company B

To identify the more productive company, unit rate (slope) needs to be compared.

Greater slope indicates more productivity.

For Company A:
The points in the table are (9,180) and (11,220).

$\text{Unit rate = Slope =}\frac{y_2-y_1}{x_2-x_1}$

Putting values, we get:
$\text{Unit rate = Slope =}\frac{220-180}{11-9}$
$=\frac{40}{2}$
$=20\text{bearings/hour}$


For Company B:
$\text{Unit rate = Slope =}\frac{y_2-y_1}{x_2-x_1}$
$=\frac{200-50}{6-1}=\frac{150}{5}$
$=30\text{bearings/hour}$

Hence, Company B is more productive.