Question

Function A and B represents the distance jogged by some people in a park on Monday and Tuesday.


Which of the following statement is correct regarding both the functions?

• A. Function A has a greater slope than function B
• B. Both of the function have equal slope.
• C. Can't be determined
• D. Function B has a greater slope than function A

Answer 1

The correct option is A Function A has a greater slope than function B

We know, equation of a function is given by y = mx + c,
where 'm' indicates the slope of the fucntion.

Equation for Function A is y = 2.5x

Comparing the equation y = 2.5x with the equation y = mx + c, we get:
$Slope\left(m\right)=2.5$

∴ Slope of the function A = 2.5

Equation for Function B is y = 2 - 3x

Comparing the equation y = 2 - 3x with the equation y = mx + c, we get:
$Slope\left(m\right)=-3$

∴ Slope of the function B = -3

Therfore, Function A has a greater slope than B.