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2 answers:
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Answer:
Marty's function has larger slope as compared to Ethan's slope.
Step-by-step explanation:
Marty function:
y plus 3 equals StartFraction 1 Over 3 EndFraction left-parenthesis x plus 9 right-parenthesis.
Writing in mathematical form:
Marty has written expression in point-slope form: where m is slope
So, comparing Marty's equation with general point-slope form equation we get slope
Now, Ethan has a table
x y
-4 9.2
-2 9.6
0 10
2 10.4
We can find slope using formula:
Using any two points, we can find slope of Ethan's equation
So, we get Marty's slope = 0.3
Ethan's slope = 0.2
So, Marty's function has larger slope as 0.3 is greater than 0.2