A hiking group began hiking back to camp. The table shows the relationship between the time in minutes and the distance the group is from camp in kilometers.
Hiking Trip:
Time, x minutes): 5,10,20,30,40,50,
Distance to Camp, y kilometers): 3, 2.5, 2. 1.75, 1.5, 1.25, 0.75
Which function best models the data in the table?
y = 3.032 - 0.047x
y = 0.047x - 3.032
y = 63.363x - 20.670
y = 63.363 - 20.670x
Based on the given data, it is clear that as the time increases, the distance to camp decreases. This suggests an inverse relationship between time and distance.
To find the best model for the data, we can use the slope-intercept form of a linear equation: y = mx + b, where m is the slope and b is the y-intercept.
Looking at the options, none of them seem to accurately represent an inverse relationship. The best option would be y = 0.047x - 3.032, which suggests that for every minute that passes (x), the distance to camp decreases by 0.047 kilometers (y).