Marty and Ethan both wrote a function, but in different ways.

Marty

y plus 3 equals StartFraction 1 Over 3 EndFraction left-parenthesis x plus 9 right-parenthesis.

Ethan

A two column table with 5 rows. The first column, x, has the entries, negative 4, negative 2, 0, 2. The second column, y, has the entries, 9.2, 9.6, 10, 10.4.

Whose function has the larger slope?

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

Marty's with a slope of 1/3

Step-by-step explanation:

Step-by-step explanation:

Marty

y+3 = (1/3) * (x+9)

y + 3 = (1/3) * x + 3

y = (1/3) * x

Marty's slope: 1/3

Option 3 is correct

Marty's with a slope of 1/3

Step-by-step explanation:

Using slope intercept form:

The equation of line is: ... [1]

where,

m is the slope and b is the y-intercept.

Formula for Slope is given by:

... [2]

As per the statement:

Marty and Ethan both wrote a function, but in different ways.

Marty equation is:

using distributive property we have;

Subtract 3 from both sides we have;

On comparing with [1] we have;

Slope of Marty =

Ethan wrote a function:

Consider any two values from the table we have;

(0, 10) and (2, 10.4)

Substitute these in [2] we have;

Slope of Ethan = 0.2

Therefore,. Marty's with a slope of 1/3 function has the larger slope