Question

Two points that are on the graph of a line relating kilograms to pounds are (0,0) and (4, 8.8), where the value of x is the weight in kilograms and the value of y is the approximate weight in pounds. According to the points graphed, which must be true? The weight in pounds is always 2.2 times the weight in kilograms. The weight in kilogtams is always 2.2 times the weight in pounds. The weight in pounds is always 8.8 times the weight in kilograms. The weight in kilograms is always 8.8 times the weight in pounds.

Answer 1

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Explanation:

Answer 2

The weight in pounds is always 2.2 times the weight in kilograms.

Explanation:

It was given that two points that are on the graph of a line relating kilograms to pounds are (0,0) and (4, 8.8), where the value of x is the weight in kilograms and the value of y is the approximate weight in pounds.

Based on the options, we need to determine the unit rate and interprete it.

We use the slope formula:

`m = (y_2-y_1)/(x_2-x_1)`

We plug in the points to get:

`m = (8.8-0)/(4-0)`

`m = (8.8)/(4)`

`m = 2.2`

So the proportional relation is

`y = 2.2x`

This means that the weight in pounds is always 2.2 times the weight in kilograms.