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(50 POINTS!!)

Lee is staying at a hotel. The cost of the first night is $240. The cost for each night after that is $210. Let y represent the total cost of staying at the hotel for x nights. Which type of sequence does the situation represent?

A.) The situation represents an arithmetic sequence because the successive y-values have a common difference of 210.

B.) The situation represents a geometric sequence because the successive y-values have a common ratio of 210.

C.) The situation represents an arithmetic sequence because the successive y-values have a common difference of 30.

D.) The situation represents a geometric sequence because the successive y-values have a common ratio of 30.

Respuesta :

ktreyb
Your equation would be y = 210x + 240

Each time you add a night, the price will go up by 210 so each night will have a common difference of 210. This eliminates options C and D. 

Going back to the phrase I used "common difference" not "ratio," this tells you to use an arithmetic sequence. 

Your answer should be option A if I'm not mistaken (haven't done arithmetic and geometric sequences in quite some time). 
carameldrizzle13

Answer:

A.) The situation represents an arithmetic sequence because the successive y-values have a common difference of 210.

Step-by-step explanation:

#platofam

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