Jody has already hiked 4 kilometers The trail is 12 kilometera long Sho can niko 2.5 kilometers per hour Which function will help Jody figuro out how many more hours h she needs to hike? 4=2.5h+12 12=2.5h+4 12=2.5h-4 12=4h+2.5

To find the function that will help Jody figure out how many more hours she needs to hike, we need to set up an equation that relates the distance she has left to hike to the time it will take her to cover that distance.<br /><br />Given:<br />- Jody has already hiked 4 kilometers.<br />- The trail is 12 kilometers long.<br />- Jody can hike 2.5 kilometers per hour.<br /><br />Let's define the variables:<br />- Let \( h \) be the number of hours Jody needs to hike to complete the trail.<br />- The total distance Jody needs to hike is 12 kilometers.<br />- The distance Jody has left to hike is \( 12 - 4 \) kilometers.<br /><br />The distance Jody can hike in \( h \) hours at a rate of 2.5 kilometers per hour is given by:<br />\[ \text{Distance} = \text{Rate} \times \text{Time} \]<br />\[ \text{Distance} = 2.5h \]<br /><br />Since she has already hiked 4 kilometers, the remaining distance is:<br />\[ 12 - 4 = 8 \text{ kilometers} \]<br /><br />So, we set up the equation:<br />\[ 2.5h = 8 \]<br /><br />To find \( h \), we solve for \( h \):<br />\[ h = \frac{8}{2.5} \]<br />\[ h = 3.2 \]<br /><br />Now, let's match this with the given functions:<br /><br />1. \( 4 = 2.5h + 12 \)<br />2. \( 12 = 2.5h + 4 \)<br />3. \( 12 = 2.5h - 4 \)<br />4. \( 12 = 4h + 2.5 \)<br /><br />The correct function that represents the situation is:<br />\[ 12 = 2.5h + 4 \]<br /><br />This function correctly sets up the relationship between the total distance (12 kilometers), the distance Jody has already hiked (4 kilometers), and the distance she needs to hike at a rate of 2.5 kilometers per hour. Solving this equation will give us the time \( h \) needed to complete the trail.