gracesommerville gracesommerville
  • 01-03-2020
  • Mathematics
contestada

The radius r(cm) of a circle is related
to time t(seconds) by the equation
r=0.4t + 1.5.
(a) Calculate the initial value of the
radius.
(b) Find the rate of change of r.

Respuesta :

amna04352
amna04352 amna04352
  • 01-03-2020

Answer:

a) 1.5cm

b) dr/dt = 0.4cm/sec

Step-by-step explanation:

r = 0.4t + 1.5

Initial is at t = 0,

r = 1.5 cm

b)

dr/dt = 0.4cm/sec

Slope = change in r/change in t

0.4 is the rate of change in r with respect to time

Alternately,

At t = 0, r = 1.5

At t = 1, r = (0.4)(1) + 1.5 = 1.9

(1.9-1.5)/(1-0) = change in r/change in time

= 0.4 cm/sec

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