Consider the differential equation dy/dx = 2 − y.

(a) Either by inspection or by the concept that

y = c, −[infinity] < x < [infinity],

is a constant function if and only if

y' = 0,

find a constant solution of the DE.

y =

(b) Using only the differential equation, find the intervals on the y-axis on which a nonconstant solution

y = ϕ(x)

is increasing. Find the intervals on the y-axis on which

y = ϕ(x)

is decreasing. (Enter your answer using interval notation.)

increasing

decreasing

Adistribution has the five-number summary shown below. what is the third quartile, q3, of this distribution? 22, 34, 41, 55, 62

Afamily went out to dinner and their bill was $113.if they want to leave a 19% tip, how much should they leave.

(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.