Question

four students have a contest to see who can hop the farthest on one foot before losing their balance. this table shows the results.
which student wins the contest?
arturo
how many times farther does arturo hop than ella?
arturo hops □ times farther than ella.
student distance (km)
arturo $6 \times 10^{-2}$
ella $3 \times 10^{-4}$
jamilla $1 \times 10^{-2}$
vinod $9 \times 10^{-3}$

Explanation:

Step1: Convert distances to decimals

Arturo: $6 \times 10^{-2} = 0.06$ km
Ella: $3 \times 10^{-4} = 0.0003$ km
Jamilla: $1 \times 10^{-2} = 0.01$ km
Vinod: $9 \times 10^{-3} = 0.009$ km

Step2: Identify largest distance

Compare values: $0.06 > 0.01 > 0.009 > 0.0003$

Step3: Calculate ratio of distances

$\frac{\text{Arturo's distance}}{\text{Ella's distance}} = \frac{6 \times 10^{-2}}{3 \times 10^{-4}}$

Step4: Simplify the ratio

$\frac{6}{3} \times 10^{-2 - (-4)} = 2 \times 10^{2} = 200$

Answer:

1. Arturo
2. 200