Question

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

Answer 1

Answer:

B

Step-by-step 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 = $\frac{y_{2} -y_{1}}{x_{2}-x_{1}}$  in this case we have h and c so:

$\frac{c_{2} -c_{1}}{h_{2}-h_{1}}$

h₁ = 5       h₂ = 12

c₁ = 15      c₂ = 36

So:

$\frac{c_{2} -c_{1}}{h_{2}-h_{1}} = \frac{36 -15}{12-5} = \frac{21}{7} = \frac{3}{1} =3$

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