A spherical balloon is inflated with gas at a rate of 600 cubic centimeters per minute. (a) Find the rates of change of the radius when r = 50 centimeters and r = 85 centimeters.
r = 50 ? cm/min
r = 85 ? cm/min

(b) Explain why the rate of change of the radius of the sphere is not constant even though dv/dt is constant.

A.) dr/dt as a function runs parallel to the volume function, which is not linear

B.) The rate of change of the radius is a linear relationship whose slope is dV/dt

C.) The rate of change of the radius is a cubic relationship.

D.) The volume only appears constant; it is actually a rational relationship.

E.) dr/dt depends on r2, not simply r.

(50 ) mrs. julien’s and mrs. castillejo’s classes are selling cookie dough for a school fundraiser. customers can buy packages of macadamia nut chip cookie dough and packages of triple chocolate cookie dough. mrs. julien’s class sold 25 packages of macadamia nut chip cookie dough and 30 packages of triple chocolate cookie dough for a total of $221.25. mrs. castillejo’s class sold 5 packages of macadamia nut chip cookie dough and 45 packages of triple chocolate cookie dough for a total of $191.25. (a) write the system of equations that model the problem. be sure to explain which equation represents which situation. (b) find the cost of each type of cookie. show your work. (c) explain which method you used to solve the system and why you chose that method.