Linear equation for the data is y = -300x + 1320.
A linear equation is an alzebraic equation of highest degree 1.
According to the given data
Weigh of male child's brain at the age of 1 is 970 grams and at the age of 3 it is 270 grams.
Here given that the relationship between weight (y) and age (x) is linear.
A linear equation can be written in the form y = ax + b and from the data we can write (x₁,y₁) = (1,970) and (x₂,y₂) = (3,270)
Where a is the slope.
We know that slope = (y₂-y₁)/(x₂-x₁)
∴ a = (270 - 970)/(3 - 1)
a = -700/2
a = -350
So, the equation now will be y = -350x + b
To find b we will plug the value of any of the two given pair of points
when x = 3, y = 270
∴ 270 = -350(3) + b
b = 270 + 1050
b = 1320
∴ y = -300x + 1320
So, the weight decreases at a rate of 350 grams per year.
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