Question

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Write a rule for the function represented by the table.
Function Table Input (x) - 0, 1, 2, 3, 4
Output (y) - 3, 6, 9, 12, 15
a. y= 3x
b. y= 3x +
3 c. y= 5x + 1
d. y= x + 5

Answer 1

"Write a rule for the function represented by the table.
Function Table Input (x) - 0, 1, 2, 3, 4
Output (y) - 3, 6, 9, 12, 15 "

This appears to be a linear function, with form y = mx + b.

According to the input-output table, if x=1, y = 6 => (1,6)
If x=4, y =15. => (4,15)

How would you find the equation of a line that passes thru these 2 points?
Hint: You need to find the slope first.

Then, use y=mx + b to find b, or use the point-slope formula,\[y-y _{1}=m(x-x _{1})\]

Answer 2

It's reasonable to expect that you know these equations for a straight line and how to use them.