To determine who skis faster, we first need to calculate the rates for both Lola and Harper.
Lola's Speed:
Lola can ski 13 miles in 2 hours. To find her speed in miles per hour, we can use the formula:
\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \]
So for Lola:
\[ \text{Speed}_{Lola} = \frac{13 \text{ miles}}{2 \text{ hours}} = 6.5 \text{ miles per hour} \]
Harper's Speed:
The equation given for Harper's distance is \( y = 6.35x \), where \( y \) is the distance in miles and \( x \) is the time in hours. This indicates that Harper skis at a constant speed.
Thus, Harper's speed is 6.35 miles per hour.
Comparison:
Now we compare their speeds:
- Lola's speed: 6.5 miles per hour
- Harper's speed: 6.35 miles per hour
Since 6.5 miles per hour > 6.35 miles per hour, Lola skis faster.
How far can Lola ski in 3 hours?
Using Lola's speed:
\[ \text{Distance} = \text{Speed} \times \text{Time} \]
\[ \text{Distance}_{Lola} = 6.5 \text{ miles per hour} \times 3 \text{ hours} = 19.5 \text{ miles} \]
Thus, the answer is:
a. Lola
How far can that person ski in 3 hours? 19.5 miles
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