Answer:
As we know that a higher positive slope means a steeper upward tilt to the curve. Therefore, the function having Marty's with a slope of 2/3 has the larger slope.
Step-by-step explanation:
As we know that the gradient - often called a slope - of a line is a number that defines both the direction and the steepness of the line.
In other words:
[tex]slope=\frac{Rise}{Run}[/tex]
Here,
- The vertical change between two points = rise
- The horizontal change between two points = run
When the slope is positive, the line will move up and then right.
As
Marty's with a slope of 2/3 i.e. m = 2/3 = 0.66
Ethan's with a slope of 2/5 i.e. m = 2/5 = 0.4
Marty's with a slope of 1/3 i.e. m = 1/3 = 0.33
Ethan's with a slope of 1/5 i.e. m = 1/5 = 0.2
From the above observation, Marty's with a slope of 2/3 i.e. m = 2/3 = 0.66 is the larger slope among all the mentioned slopes as a higher positive slope means a steeper upward tilt to the curve.
Therefore, the function having Marty's with a slope of 2/3 has the larger slope.
