Question

Please help me answer this question ASAP! If you give me a stupid answer I will report your account

Answer 1

B

Explanation:

It is linear.

We can see the right side are multiples of 3. So the equation so the table is:

c = 3h

When h = 5 c = 15

c = 3h

c = 3*5

c = 15

When h = 12 c = 36

c = 3h

c = 3*12

c = 36

The constant rate of change between cost and time is 3.

Another way to solve is check for rate of change using 2 points on the chart.

Let's choose h = 5 c = 15 and h = 12 c = 36

The normal equation for rate of change is:

m =
`(y_(2) -y_(1))/(x_(2)-x_(1))` in this case we have h and c so:

`(c_(2) -c_(1))/(h_(2)-h_(1))`

h₁ = 5 h₂ = 12

c₁ = 15 c₂ = 36

So:

`(c_(2) -c_(1))/(h_(2)-h_(1)) = (36 -15)/(12-5) = (21)/(7) = (3)/(1) =3`

Now that we know it's 3 we use slope intercept form to find the equation.

y = mx + b ( m = 3) and we plug in a point to find b.

y = 3x + b h = 5 (x) c = 15 (y)

15 = 3(5) + b Solve for b.

15 = 15 + b Subtract 15 from each side.

15 - 15 = 15 - 15 + b

0 = b b is 0 showing our equation was correct.

y = 3x or c = 3h