Gabriella compared the graphs of two functions. The first function was f(x) = 3x + 4.
The second functions fits the values in the table.
x

2

5

8

11

y

17

32

47

62

What is the distance between the y-intercepts of the two functions?

1. A.

2 B.

3 C.

4 D.

9514 1404 393

  C  3

Step-by-step explanation:

The first function is given in slope-intercept form:

  y = mx + b

When we compare this to the given equation, we see the y-intercept is 4.

__

The table represents a function with a slope of ...

  m = (y2 -y1)/(x2 -x1) = (32 -17)/(5 -2) = 15/3 = 5

Then the y-intercept can be found from ...

  b = y1 -m(x1)

  b = 17 -5(2) = 7

The table is a function with a y-intercept of 7.

__

The difference between the y-intercepts of the two functions is ...

  7 - 4 = 3 . . . difference of y-intercepts

$4

step-by-step explanation:

$30×5=$150

$150 minus $130=$20

$20÷5=$4.

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