A train is traveling at a constant speed and goes 7.5 kilometers in 6 minutes. At that rate: How far does the train go in 1 minute?
how far does the train go in 100 minutes?

a. The distance travelled by the train in 1 minute, at a constant speed is 1.25 kilometers.

b. The distance travelled by the train in 100 minute, at a constant speed is 125 kilometers.

Given the following data:

To find how far (distance) the train go in 1 minute, we would use direct proportion:

7.5 kilometers = 6 minutes

X kilometers = 1 minute

Cross-multiplying, we have:

X = 1.25 kilometers.

b. To find how far (distance) the train go in 100 minute:

Since the train travels 1.25 kilometers in 1 minute, we would multiply that distance by 100.

Distance = 125 kilometers.

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1.25 km in 1 minute

125 km in 100 minutes

Step-by-step explanation:

Find its speed in km/min by dividing the km by number of minutes:

7.5/6

= 1.25

So, the train goes 1.25 km in 1 minute.

Using this speed, find how far it goes in 100 minutes, by multiplying the speed by 100:

1.25(100)

= 125

So, in 100 minutes, the train goes 125 km.

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