IXL - Weighted averages (Geometry practice)

Point

has a weight of

and point

has a weight of

What is the weighted average of

and

Write your answer as an integer, a decimal, or a simplified fraction.

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question

Point

has a weight of

and point

has a weight of

What is the weighted average of

and

Write your answer as an integer, a decimal, or a simplified fraction.

key idea

To calculate the weighted average of two points on a number line,

and

you can express the weights as fractions, decimals, or percents of the total weight and then use this formula:

weighted average

(

A's weight

)

(

A's value

)

(

B's weight

)

(

B's value

)

solution

Point

is at

–

on the number line and has a weight of

Point

is at 2 on the number line and has a weight of

To find the weighted average of

and

multiply the coordinate of each point by its weight. Then add the weighted values.

(

–

)

(

)

–

Simplify

–

Simplify

The weighted average is

–

$Confetti$

Excellent!

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