SAT Math 6.5 Algebra and Functions

Round to the nearest hundredth of a foot.

And here are the potential answers...

Okay, so... he jumps 1 foot to the right, and then jumps halfway to his starting point.

He ends up .5 feet away from his starting point after 2 jumps.

He needs to keep track of his distance after 10 jumps, so we'll use a chart.

So far, here is what we know:

On his third jump, our insect friend will hop to the right again,

and he'll increase his distance by 1 foot.

Then, he'll jump backwards half the distance, and be .75 feet away after his 4th jump.

We continue with his 5th and 6th jump, where he will jump to

1.75 feet away, and return to be .875 feet away.

On his 7th jump, he'll be 1.875 feet away, and half his distance to

.9375 feet on his eighth. Finally, his last two jumps.

He'll be 1.9375 feet away on his 9th jump,

and .96875 feet away on his 10th and final jump.

The question asks for the answer rounded to the hundredths place,

so we round it off to .97 feet.

So our answer is (A).