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lara31 [8.8K]
1 year ago
5

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 equatio

n for W then state the slope of the graph and determine its interpretation in the context of the problem.
Mathematics
1 answer:
Agata [3.3K]1 year ago
5 0

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

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a) A linear equation can be written as y=mx+c where m is the slope and c is the intercept on the y-axis. The slope describes how y changes when x changes. A negative value means the it is a decreasing change. In our case, y is A and x is t. Thus, the slope of the equation is m=-0.062. This means that the area of glacier is decreasing by 0.062 \text{km}{}^2 = 62000 \text{m}{}^2 every year since 2000.

b) The A-intercept (= 16.2 \text{km}{}^2) represents the area covered when t=0. But t=0 starting from year 2000. This intercept then represents the area covered by glacier in the year 2000. Therefore, the area covered by glacier in 2000 was 16.2 \text{km}{}^2.

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