Dan’s football team brings a 5-gallon cooler of Thirstade to every game so players can stay hydrated throughout the game. The amount of Thirstade in the cooler can be modeled by the equation y=5−0.2x, where y is the amount of Thirstade in the cooler in gallons, and x is the number of players who have taken a drink of Thirstade. Which best describes the amount, in gallons, of Thirstade that is in the cooler at any time, x?
A. The amount of Thirstade in the cooler decreases at a constant rate.
B. The amount of Thirstade in the cooler increases at a constant rate.
C. The amount of Thirstade in the cooler decreases at an exponential rate.
D. The amount of Thirstade in the cooler increases at an exponential rate.

i think there was a typo. you wrote pat brings 3 quarts of ice-cream to the party. each serving of ice-cream is 1 6 quart. how many total servings of ice-cream does pat bring to the party? i think the bold is supposed to be 1/6. so 1 quart of ice cream = 6 servings. 6 * 3 = 18.

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week