A fire has started in a dry, open field and is burning in a circular area with an initial radius of 3 feet. The radius
of the fire is increasing at a rate of 2 ft/min. es
The area of a circle is given by the formula:
A = ar
Define a function, g, which relates the size of the radius (r), measured in centimeters, in terms of the number
of seconds (t) since the radius of the fire began increasing.

answer choices:

g(r)= 2r+3
g(r) 3r+2
g(t)= 2t+3
g(t) = 3t+2

  g(t) = 2t+3

Step-by-step explanation:

You want a definition of g(t) so you can write the equation ...

  r = g(t) . . . . . . radius is a function of time

We are told the radius at t=0 is 3, so the third choice is the obvious one:

  g(t) = 2t +3 . . . . . radius t seconds after the radius began increasing

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.

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