Question

The weight, in pounds, of a newborn baby t months after birth can be modeled by W. A graph of W is shown below. Write an equation for W then state the slope of the graph and determine its interpretation in the context of the problem.

Answer 1

the First we need to choose two points in the graph

(0,6)=(t1,w1)

(1,7)=(t2,w2)

the variables are t and w

then we can calculate the slope

$m=\frac{w2-w1}{t2-t1}=\frac{7-6}{1-0}=\frac{1}{1}=1$

the equation of W is

where

m=1 ---> slope

b=6 ---> y-intercept

$\begin{gathered} W=mt+b \\ W=1\cdot t+6 \\ W=t+6 \end{gathered}$

the answers are

W=t+6

slope of the function 1

the answer is the third option