Question

Guthrie made the input-output table shown below.

Input (x)
1
2
3
Output (v)
4
7
10
13
4
Which of the following equations is true for all values in Guthrie's input-output table?
AI +3 = y
B :+7=y
C 3x+1=y
D) 4.1 - 1=y

Answer 1

9514 1404 393

Answer:

C 3x +1 = y

Explanation:

x-values increase by 1 from row to row.

y-values increase by 3 from row to row.

The slope of the linear function is the ratio of the y-increase to the x-increase:

m = ∆y/∆x = 3/1 = 3

The only offered choice with an x-coefficient of 3 is ...

C 3x +1 = y

__

If you check this against the table entries, you find it fits.

3(1) +1 = 4

3(2) +1 = 7

and so on.