Question

An athlete is able to jump forever. however every time she jumps she gets a bit more tired and every jump goes 1/2 as far as her prior jump.now for her very first jump she goes 1/2 of a foot.on her second jump she goes 1/4 of a foot, and so on and so forth.how many jumps does it take for her to travel 1foot? show by using numberline

Answer 1

The athlete will never reach one foot because they only ever jump half of the remaining distance

Answer 2

Answer:

Not Possible

Step-by-step explanation:

According to the question, she started travelling from a ½ foot. For every next jump it will become half of previous jump

For example  

$\frac {1} {2} + \frac {1} {4} + \frac {1} {8} + \frac {1} {16}--------- infinite = 1$

For first step it become, $\frac {1} {2}$

Second step it become, $\frac {1} {4}$

and so, on

Since, she travels half of the previous jump it is not possible to reach 1 foot which she must take infinite steps. [theoretically]