Question

PLSSS HELPPP I WILL GIVE BRAINLIESTTTT!!!!!!!

Answer 1

Answer:

yes to both

Step-by-step explanation:

For a relationship to be a function then each value of x must relate to exactly one unique value of y.

This is the case in this table as

2 → 76

4 → 152

6 → 228

All unique values thus a function

To determine if it is linear then the rate of change is constant for each set of ordered pairs. This is measured using the slope formula.

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (2, 76) and (x₂, y₂ ) = (4, 152 ) ← ordered pair from table

m = $\frac{152-76}{4-2}$ = $\frac{76}{2}$ = 38

Repeat with (x₁, y₁ ) = (4, 152) and (x₂, y₂ ) = (6, 228)

m = $\frac{228-152}{6-4}$ = $\frac{76}{2}$ = 38

Since rate of change is constant then function is linear