Westonci.ca offers quick and accurate answers to your questions. Join our community and get the insights you need today. Get quick and reliable answers to your questions from a dedicated community of professionals on our platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

What is the rule for the function shown in the table?

x|-1|0|1|2
y|-2|1|4|7

A. y = 1/3x + 1
B. y = 3x +1
C. y = 1/3x
D. y = 1/2x + 1

Sagot :

naǫ
It's a linear function.
[tex]y=mx+b \\ \\x_1=-1 \\ y_1=-2 \\ \\ x_2=0 \\ y_2=1 \\ \\ m=\frac{y_2-y_1}{x_2-x_1}=\fac{1-(-2)}{0-(-1)}=\frac{1+2}{0+1}=\frac{3}{1}=3 \\ \\ y=3x+b \\ (0,1) \\ 1=3 \times 0+b \\ 1=0+b \\ b=1 \\ \\ \boxed{y=3x+1} \Leftarrow \hbox{answer C}[/tex]

Answer:

The answer is B: y = 3x + 1

Step-by-step explanation:

Look at the response above this to see the explanation!