QuestionWhat is the value of $a$ in the equation $f(x) = a + b x$ if the animal weighed 241 pounds at birth and gained 3 pounds/day?

Studdy Solution

STEP 1

Assumptions1. The animal weighed241 pounds at birth. The animal gained3 pounds per day in its first year of life3. The model for predicting the weight of the animal is given by the equation $f(x)=a+bx$ , where $f(x)$ is the predicted weight, $x$ is the number of days after birth, and $a$ and $b$ are constants.

STEP 2

In the equation $f(x)=a+bx$ , $a$ is the value of $f(x)$ when $x=0$ . This is because when $x=0$ , the equation simplifies to $f(x)=a$ .

STEP 3

In this problem, $x=0$ corresponds to the day the animal was born. Therefore, $a$ is the weight of the animal at birth.

STEP 4

Given that the animal weighed241 pounds at birth, we can say that $a=241$ .
The value of $a$ is241.

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