Question

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

Answer 1

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: $y+3=\frac{1}{3}(x+9)$

Marty has written expression in point-slope form: $y-y_1=m(x-x_1)$ where m is slope

So, comparing Marty's equation with general point-slope form equation we get slope $m=\frac{1}{3}\:or\: 0.3$

Now, Ethan has a table

x        y

-4      9.2

-2      9.6

0       10

2       10.4

We can find slope using formula: $Slope=\frac{y_2-y_1}{x_2-x_1}$

Using any two points, we can find slope of Ethan's equation

$Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{9.6-9.2}{-2-(-4)} \\Slope=\frac{0.4}{-2+4} \\Slope=\frac{0.4}{2} \\Slope=0.2$

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

Answer 2

Answer:

C

Step-by-step explanation: