Rosie went on a hiking trip. The first day she walked 18 kilometers. Each day since, she walked 90, percent of what she walked the day before.
What is the total distance Rosie has traveled by the end of the 10th, start superscript, start text, t, h, end text, end superscript day?
Round your final answer to the nearest kilometer.

110km

Step-by-step explanation:

If she walks 18km on the first day and each day since, she walked 90percent of what she walked the day before.

Second day = 90% of 18km

Second day = 90/100× 18

= 16.2km

Third day = 90% of distance walked second day

Third day = 90/100 × 16.2

= 14.58km

Fourth day = 0.9× 14.58

= 13.12km

Fifth day = 0.9×13.122 = 11.81km

Sixth day = 0.9×11.81 = 10.63km

7th day = 0.9×10.63 = 9.57km

8th day = 0.9×9.57 = 5.74km

9th day = 0.9×5.74 = 5.17km

10th day = 0.9×5.17 = 4.65km

At the end of the 10th day, the total distance covered will be sum of all the distances

= 18+16.2+14.58+13.12+11.81+10.63+

9.57+5.74+5.17+4.65

= 109.47km

= 110km to nearest kilometers

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step-by-step explanation:

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!