Question

Yoshi has already hiked 4 kilometers. The trail is 12 kilometers long. He can hike 2.5 kilometers per hour. Which function will help Yoshi figure out how many more hours, h she needs to hike?

Answer 1

To determine how many more hours \( h \) Yoshi needs to hike, we first need to calculate the remaining distance he has to hike.

1. **Total distance of the trail**: 12 kilometers
2. **Distance already hiked**: 4 kilometers
3. **Remaining distance**:
\[
\text{Remaining distance} = \text{Total distance} - \text{Distance already hiked} = 12 - 4 = 8 \text{ kilometers}
\]

Next, we know Yoshi's hiking rate is 2.5 kilometers per hour. To find the time \( h \) (in hours) needed to hike the remaining distance, we can use the relationship between distance, rate, and time:

\[
\text{Distance} = \text{Rate} \times \text{Time}
\]

Rearranging this equation to solve for time gives us:

\[
\text{Time} = \frac{\text{Distance}}{\text{Rate}}
\]

Applying the values we have:

\[
h = \frac{\text{Remaining distance}}{\text{Rate}} = \frac{8 \text{ kilometers}}{2.5 \text{ kilometers per hour}}
\]

So the function that Yoshi can use to determine how many more hours he needs to hike is:

\[
h = \frac{8}{2.5}
\]

This function can also be expressed as:

\[
h = \frac{8}{2.5} = 3.2 \text{ hours}
\]

Thus, the function to calculate the number of hours left to hike is:

\[
h = \frac{12 - 4}{2.5}
\]

This function can help Yoshi determine the additional time required to complete the hike.