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## Marty and Ethan both wrote a function, but in different ways. Marty y plus 3 equals StartFraction 1 Over 3 EndFraction lef

Question

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

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Mathematics
3 years
2021-08-24T15:01:09+00:00
2021-08-24T15:01:09+00:00 1 Answers
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## Answers ( )

Answer:Marty’s with a slope of 1/3

Step-by-step explanation:The functions Marty and Ethan wrote are analyzed the find the slope of each of the function

The equation Marty wrote is presented here as follows;

Marty’s equation can be written in slope and intercept form,

y = m·x + c, as follows;By comparison, the slope of the function, m = 1/3

Marty’s function has a slope of m = 1/3

Ethan has the following two column table;

The slope,

m,of the data in the above table is given as follows;Taking any two points, (x₁, y₁) = (-4, 9.2), and (x₂, y₂) = (2, 10.4), we get;

Ethan’s function has a slope of m = 1/5

Therefore;

Marty’s slope of 1/3 is larger, given that 1/3 > 1/5.