Question

Consider the two functions below. Which one of these functions is linear? What is its equation? Enter any answers to two decimal places.

Answer 1

Function A and the equation would be y = 1.6666666666~x + 0

Explanation:

A linear function is a function that is a straight line with no change so function B does not fit that description. So than it has to be A

To find the equation you first what to find the slope of the line

ΔY/ΔX = 5/3 = 1.666666666666

Take the slope and multiply it by x to get y

Answer 2

Following are the solution to the given function:

Given:

Function A:

`\bold{x} \ 3 \ 6 \ 9 \ 12 \ 15 \\\\\bold{y} \ 5 \ 10 \ 15 \ 20 \ 25`

To find:

Find the function=?

Solution:

• Function A or equation would've been
  `\bold{y = 1.6666666666 \sim x + 0}`.
• The linear equation is a straight line with really no modification, hence function B doesn't suit its description. As a result, it has to be A.
• You must first calculate the slope of the line to solve this equation.
• 
  `\bold{\to (\Delta Y)/( \Delta X) = 5/3 = 1.666666666666}`

• To get y, take the slope then multiply this by x.