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Q2005 DOO
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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

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:

Here,

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.