Question

The graph for production capacity of a company vs days is given below.


Find the difference between the production capacities of the company on weekends and weekdays.

• A. 10
• B. 15
• C. 20
• D. 25

Answer 1

The correct option is C 20


Consider the points on the line for weekdays (5, 15) and (10, 20)
You know,
$\text{Slope = unit rate =}\frac{y_2-y_1}{x_2-x_1}$

So, by putting values, you get:
$\text{Slope = unit rate =}\frac{20-15}{10-5}$
$=1$

The value of y intercept = 10 units

Also,


Consider the points on the line for weekends (5, 35) and (10, 40).

By putting values, you get:
$\text{Slope = unit rate =}\frac{y_2-y_1}{x_2-x_1}$
$=\frac{40-35}{10-5}$
$=1$

The value of y intercept = 30 units

Since the unit rates are same, difference between production capacity on weekends and weekdays $\text{will be}=30-10=20units.$