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AshleyB.

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Okay, so, I am in Math-7 and we are doing things that my friend in Alegebra-1 is doing. we are doing functions tables. i've called people for help, I've asked my parents. I just don't get it. We have a test on this tomorrow and I'd rtather not fail. one of the problems are y=3x+1. We have to make a table for that. the x side is 1,2,3, and 4. The directions say "Use each Function rule, Find y for x=1,2,3,and 4." This homework is taken up for a grade and I REALLY do not understand this. Please Help. Thanks.
 
AshleyB. said:
Okay, so, I am in Math-7 and we are doing things that my friend in Alegebra-1 is doing. we are doing functions tables. i've called people for help, I've asked my parents. I just don't get it. We have a test on this tomorrow and I'd rtather not fail. one of the problems are y=3x+1. We have to make a table for that. the x side is 1,2,3, and 4. The directions say "Use each Function rule, Find y for x=1,2,3,and 4." This homework is taken up for a grade and I REALLY do not understand this. Please Help. Thanks.

AshleyB.,

plug those x-values into 3x + 1. Those outputs are your respective y-values.

For x = 1,
use the function rule of y = 3x + 1:

y = 3(1) + 1 =
3 + 1 =
4

So, the row is x = 1, y = 4, as seen below.

Now complete the table by plugging in x = 2, x = 3 , x = 4 into
the same function rule of y = 3x + 1:


\(\displaystyle \ \ x \ \ | \ \ y\)
----------
\(\displaystyle \ \ 1 \ \ | \ \ 4\)
----------
\(\displaystyle \ \ 2 \ \ |\)
----------
\(\displaystyle \ \ 3 \ \ |\)
----------
\(\displaystyle \ \ 4 \ \ |\)
----------
 
You must find in your mind the principle of substitution.

On the x-side, you have 1, 2, 3, 4

This is a hint to substitute each of these values, one at a time, for 'x' in the given equation.

x = 1 gives y = 3(1) + 1 = 3+1 = 4
x = 2 gives y = 3(2) + 1 = 6+1 = 7
x = 3 gives y = 3(3) + 1 = 9+1 = 10
x = 4 gives y = 3(4) + 1 = 12+1 = 13

These values go on the y-side, 4, 7, 10, 13
 


3*x + 1 = y

This function rule says, "If you triple some number called x, and then add one, you'll end up with an associated number called y".

Making a table of these associated (x,y) pairs is easy. Do the arithmetic, and write down the numbers.

When x is 1, then y is the number that you get by calculating 3*1+1.

When x is 2, then y is the number that you get by calculating 3*2+1.

When x is 3, then y is the number that you get by calculating 3*3+1.

Et cetera.

Write the table as two columns. Label the first column "x". Label the second column "y".

 
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