Question

1. Use the equation 2m+4s=16 to complete this following table:2. Graph the line using s as the dependent variable.

Answer 1

Step-by-step explanation

Step1

isolate m

`\begin{gathered} 2m+4s=16 \\ subtract\text{ 4s in both sides} \\ 2m+4s-4s=16-4s \\ 2m=16-4s \\ \text{divide both sides by 2} \\ (2m)/(2)=(16)/(2)-(4s)/(2) \\ m=8-2s\rightarrow equation \end{gathered}`

Step 2

now, replace

a)when m=0

`\begin{gathered} m=8-2s \\ 0=8-2s \\ 2s=8 \\ \text{divide both sides by 2} \\ (2s)/(2)=(8)/(2) \\ s=4 \end{gathered}`

so, in the first box put 4.

b)when s=3

`\begin{gathered} m=8-2s \\ m=8-2(3) \\ m=8-6 \\ m=2 \end{gathered}`

so, when s=3, m=2

put 2 in the next box

c)when m=-2

`\begin{gathered} m=8-2s \\ -2=8-2s \\ -2-8=-2s \\ -10=-2s \\ s=(-10)/(-2)=5 \\ s=5 \end{gathered}`

then, when m=-2, s=5

d)when s=0

`\begin{gathered} m=8-2s \\ m=8-2(0) \\ m=8-0 \\ m=8 \end{gathered}`

I hope this helps you