Question

Zoe keeps track of the miles per gallon her car gets per week. She has accumulated the following data: (1, 24), (2, 24.38), (3, 24.76), (4, 25.14). What is the common difference or ratio? a. The common difference is 0.38. b.The common difference is 0.76. c.The common ratio is 0.99. d. The common ratio is 1.02. just need the answer

Answer 1

For this case we have the following data:
 (1, 24), (2, 24.38), (3, 24.76), (4, 25.14)  
 We observe that, we have an arithmetic sequence.
 That is, we have:
 $an + 1 = an + d$
 Where,
 an + 1: next term
 an: previous term
 d: common difference.
 So we have to clear d:
 $d = an + 1 - an$
 Substituting any values of the table (coordinate y) we have:
 $d = 24.38 - 24 d = 0.38$
 Answer:
 a. The common difference is 0.38