Describe how to calculate the average rate of change between two (input, output) pairs of a function. The DogHouse food truck sells hot dogs from noon until 9:00 pm or whenever they run out of hot dogs – whichever comes first. The following are the sales from yesterday.

Time12:301:303:003:455:006:157:308: 009:00
Total # of hot dogs sold156480110225317518675712
a. What was the average rate of change from 12:30 until 3:00?

b. What was the average rate of change from 5:00 until 9:00?

c. What was the average rate of change for the entire day?

d. If today they have 550 hotdogs and expect similar business, when might they predict being able to close the food truck? Explain how you made your prediction.

2x^2+5x+17

your welcome. : )

imma say 16%. sorry if its wrong. i'm doing the same stuff right now

step-by-step explanation:

-2x-4

step-by-step explanation:

(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