Question

This is 15 points for whoever answers.

Answer 1

Y = 40

Explanation:

First, find the slope-intercept of the table

Slope-intercept form: y = mx + b

`m=(y_2-y_1)/(x_2-x_1)`

(3, 1) and (6,2)

`m=(y_2-y_1)/(x_2-x_1)\\\\m=(2-1)/(6-3)\\\\m=(1)/(3)`

`y=mx+b`

`y=(1)/(3)x+b`

Find b using (6,2):

`y=(1)/(3)x+b\\\\2=(1)/(3)(6)+b\\\\2=(6)/(3)+b\\\\2=2+b\\\\-2\ -2\\\\0=b`

`y=(1)/(3)x+b== > y=(1)/(3)x+0== > y=(1)/(3)x`

`y=(1)/(3)x`

What will be the value of Y when X = 120?

Substitute 120 for x into
`y=(1)/(3)x`

`y=(1)/(3)x\\\\y=(1)/(3)(120)\\\\y=(120)/(3)\\\\y=40`

(120, 40)

Therefore, when X = 120, Y = 40

Hope this helps!