Question

Lesson 10: Linear Functions Unit Test Help, please.

Answer 1

Answer:

D. no; y does not vary directly with x.

Step-by-step explanation:

To find the equation, we need to use two points: (8,11) and (24,33).

Then, we find the slope

$m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }=\frac{33-11}{24-8}=\frac{22}{16}=\frac{11}{8} \approx 0.61$

Now, we use the point-slope formula

$y-y_{1} =m(x-x_{1} )\\y-11=0.61(x-8)\\y=0.61x-4.88+11\\y=0.61x+6.12$

Notice that the formula has the form $y=mx+b$, that means variables are not directly proportional, because that relation is shown by the form $y=mx$.

Therefore, the right answer is D.

Answer 2

Answer:

D.

Step-by-step explanation:

No because the rule is X+X=the next X in the table and Y+Y=the next Y in the table X and Y have no relationship.