For a track meet, tara ran the 1,600 m event at constant speed in 5 minutes and 20 seconds. what was her speed?

300 m/min

Step-by-step explanation:

Using the general formula of d = rt, where d = distance, r = rate and t = time, we can solve for the missing variable (r, or speed). Given Tara's distance of 1600 m and her total time of 5 minutes and 20 seconds, first convert her time into just minutes:

5

5

1600 = r(16/3)

Multiply both sides by reciprocal of 16/3:  3/16(1600) = r(16/3)(3/16)

Solve for 'r': 300 meters per minute

step-by-step explanation:

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