Question

2. Gabriel buys a lot of rice for his restaurant. The store he prefers to buy from has a special deal for him for being such a great customer. Once Gabriel has bought 4,000 pounds of rice, the store will provide a 5% discount on all rice purchases above 4000 lbs. The cost for the first 4,000 lbs is $0.21 per pound. Let s be the amount of rice he purchases for a month and R(s) be the amount he pays for buying s pounds of rice this month. 4 points. Write a piecewise-defined function to model the price Gabriel paid for rice R(s) (in dollars) as a function of the amount of rice he purchased, s. 120+10m 1+0.07m with AN 3. 5 points. Hendrix is 6 years old and is fascinated with biology. His father buys him some sea monkeys (brine shrimp) and a small aquarium. The sea monkey population can be approximated by S(m) = being the time in weeks since Hendrix put the sea monkeys into the aquarium. Write the equation of the horizontal asymptote for this function. Also, interpret what this asymptote means in the context of the problem (in terms of the sea monkey population and the number of weeks since the sea monkeys were introduced into the aquarium).

Answer 1

Question 2)

ser we have & 0 0.21 per found Rate of füst 4000lbs = Then, price paid focefort 4000 lbs of rice, oss s yooo 13 RIS)= '0. 21S Noud Above 4000 lbs of rice, the store will provide a 5% discount price paid 957, Fixed. a R(S) = Jour x fos - 4000) X 95.+ 0.268 Cuovo) RSS ) = [0.1995 CS-40001] +8403 R(S) = 0.1995 s + 42 piece-nust Thut the function RES) is giren by 100

0 < s < 4000 R(S) = S 0.215 0.1995 s + 42 2 S > 4000 3 we have s(m) = 120+ lom. Itoi07 Horizontal asymbrote heure, degune of numuator and denominator e equal equal to ľ

Then, Horizontal Asymptolt coefficient of of in m innumerator coefficient of in genominator y Lo 0.07 y 1000 7 142.851143 143 after so It interprets that many weeki, sence the sea monkeys were introduced into the aquarium, population of the sea mo sla monkey mill the non be constant that ú 143.