Coach DeCaro records the cross country runners’ times compared to their personal best times. 3K Times
Runner
Time compared to personal best
Gregor
+5.6
Hiroki
–11.6
Isabelle
+3.2
Juan
0
Karen
–5.2

Which list correctly orders the runners from MOST improved to LEAST improved?
Juan, Hiroki, Karen, Isabelle, Gregor
Juan, Isabelle, Karen, Gregor, Hiroki
Hiroki, Karen, Juan, Isabelle, Gregor

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2

the answer is b.

step-by-step explanation:

identity property is where 0+whatever number=whatever number. basically 0+ a number.

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.