Ari is swimming a 25-meter race. after swimming 6 meters, she catches up to amanda in a ratio of 7: 3 from the 6-meter mark. at what meter mark does ari catch up to amanda? round to the nearest tenth, if necessary.

ari catches up to amanda at meters.

The position where Ari caught up with Amanda using the ratio principle is 19.3 meters

Ari's position when she catches up with Amanda :

Ari's position = (7÷10) × 19 = 13.3

Therefore, Ari caught up with Amanda at the point 13.3 meters mark

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Ari catches up to Amanda at 19.3 meters

Step-by-step explanation:

Given :

Ari is swimming a 25-meter race.

After swimming 6 meters she catches up to Amanda in a ratio of 7:3 from the 6-meter mark.

Solution :

The distance between 6 meters and 25 meters = 19 meters.

Since she catched Amanda in ratio 7:3

So, she catched her at 7/10 of the distance

So, the distance at which she catched Amanda =

                                                                               =13.3

Ari catches 13.3 metres from 6 m marks

The point on number line at which she catches her = 13.3+6

Hence Ari catches up to Amanda at 19.3 meters

okay wait before i answer, is this for your points on a graph?

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)