Question

Active

Q2005 DOO
TIME REMAINING
52:56
Whose function has the larger slope?
Marty and Ethan both wrote a function, but in different
ways
Marty
Marty's with a slope of 2/3
Ethan's with a slope of 2/5
Marty's with a slope of 1/3
Ethan's with a slope of 1/5
Ethan
17
2
10.4

Answer 1

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.

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:

`slope=(Rise)/(Run)`

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.