Question

MEDAL!!
what function rule is represented by the table?
(table will be posted momentarily)

Answer 1

@dan815 @dtan5457 @jim_thompson5910 @jdoe0001

Answer 2

x is the position of y

Answer 3

the choices are=
a) y=x+3
b) y=x+6
c) y=2x+3
or...
d) y=4x+1

Answer 4

Just check which ones satisfies the table......Or think about it and solve. You could start by answering jim_thompson5910 question and then determine how much y is increasing>

Answer 5

\(\bf \begin{array}{rllllll}
x&&0&{\color{red}{ 1}}&2&{\color{red}{ 3}}\\
y&&3&{\color{blue}{ 5 }}&7&{\color{blue}{ 9}}
\end{array}
\qquad
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({\color{red}{ 1}}\quad ,&{\color{blue}{ 5}})\quad
% (c,d)
&({\color{red}{ 3}}\quad ,&{\color{blue}{ 9}})
\end{array}
\\\quad \\
% slope = m
slope = {\color{green}{ m}}= \cfrac{rise}{run} \implies
\cfrac{{\color{blue}{ y_2}}-{\color{blue}{ y_1}}}{{\color{red}{ x_2}}-{\color{red}{ x_1}}}

\\ \quad \\
% point-slope intercept
y-{\color{blue}{ y_1}}={\color{green}{ m}}(x-{\color{red}{ x_1}})\qquad \textit{plug in the values and solve for "y"}\\
\qquad \uparrow\\
\textit{point-slope form}\)

Answer 6

get the slope, plug the values, solve for "y"
that'd give you the equation

as jim_thompson5910 said, the change will be the slope, and that'd give you a start

Answer 7

I know y is increasing by +2 each time but I don't know which rule it would be from the choices #confused

Answer 8

Don't forget slope is change in y divided by change in x.
Also slope will be the coefficient of x in the function equation.

Answer 9

wait is the answer d? cause I tried a different way and it makes more sense for this one to be the answer

Answer 10

That was a guess.....

Answer 11

Ummm let me see d?? y = 4x + 1
then when x = 0, y would = 1 but table says y = 3 BBBZZTT wrong answer.

Answer 12

lol ok so, when x =0 y= 2(0) +3=3 and the table says 3 so is it c?

Answer 13

Well that looks better but to be sure check it with the next value of x......try x=1.

Answer 14

does c work with x=1?

Answer 15

ok, when x=1 y=2(1)+3= 5 and the table says 5 so it is c! right?

Answer 16

I am convinced, but the cange in y is 2 when the change in x is 1 so the slope is 2/1 or 2, that means y= 2x + b, and the intercept b occurs when x is 0. I would say all the evidence is pointing at C,

Answer 17

Are you convinced it is c.

Answer 18

ok, and yes im convinced it is c, Thank You :D

Answer 19

My pizza is ready, gotta run. good luck with your studies and with your kitten, my main pet is the Boston Terrier on my lap in the photo.