Question

Analyse the given functions:


Which of the following statement indicates the correct statement regarding the above functions?

• A. Function A has a greater slope than function B
• B. Function B has a greater slope than function A
• C. Both have same slope
• D. None

Answer 1

The correct option is C Both have same slope

Function A: y = 50x - 15

The above equation is in the form of y = mx + c, where 'm' indicates the slope which also known rate of change.

Comparing the equation y = 50x - 15 with y = mx + c

We get, Slope of function A = 50

Function B:


Let us consider two points on the graph, say (0,1.5) and (3,3.5)

It is given sale of fruits is in hundreds.
So, we have to multiply y-axis coordinates with 100.
We will get the points as (0,150) and (3,350).

$\text{We know, slope (m)}=\frac{\text{Change in y}}{\text{Change in x}}$

$=\frac{350-150}{3-0}$

$=\frac{150}{3}$

$=50$

∴ Slope of function B = 50

Therefore, both functions has same slope.