Yasmin's puppy, maggie, weighed 14 ounces at birth. She doubled her birth weight in 10 days. Assuming her growth is constant, how much will she weigh at various times in the first year?

Respuesta :

we are given growth rate is  constnat

so, equation wil be straight line

Yasmin's puppy, maggie, weighed 14 ounces at birth

Let's assume weight after t days as w

t is time in days

so, we get (0,14)

She doubled her birth weight in 10 days

so, we get (10, 28)

Firstly, we will find slope

(0,14)

x1=0, y1=14

(10, 28)

x2=10 , y2=28

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

we can use it and find m

[tex]m=\frac{28-14}{10-0}[/tex]

[tex]m=1.4[/tex]

now, we can use point slope form of line

[tex]y-y_1=m(x-x_1)[/tex]

[tex]w-14=1.4(t-0)[/tex]

[tex]w=1.4t +14[/tex]

we know that

1 year =365 days

so, we can plug t=365

[tex]w=1.4*365 +14[/tex]

[tex]w=525[/tex]

so, weight after 1 year is 525 ounces.........Answer

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