Thomas and Jenny went to a bakery to pick up some cookies for dessert. Thomas bought 3 pumpkin cookies and 2 raisin cookies. Jenny bought 2 pumpkin cookies and 4 raisin cookies. Thomas consumed 870 calories and Jenny consumed 750 calories. a. Write a system of equations to represent this situation.
b. Solve each equation for and graph to find the solution. How many calories are the pumpkin and raisin cookies?
c. Solve the same equations using substitution and the elimination methods. Compare all of your answers.

definitely a. the others have almost all data points on one side of the line.

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