a) The meaning of the point (t, s) = (5, 6) is that the backpacker travels a distance of 5 miles in 6 hours.
b) The equation of the relationship between the distance traveled by the backpacker and time taken is equal to s = (6 / 5) · t.
How to analyze linear equations
According to the image attached aside, we find that the distance traveled by the backpacker (s), in miles, is directly proportional to the time taken (t), in hours. In other words, we have the following relationship:
s ∝ t
s = k · t (1)
Where k is the constant of proportionality, in miles per hour.
a) The meaning of the point (t, s) = (5, 6) is that the backpacker travels a distance of 5 miles in 6 hours.
b) To determine the equation of the relationship, we need to calculate the constant of proportionality. If we know that t = 5 h and s = 6 mi, then the equation of the relationship is:
6 = 5 · k
k = 6 / 5
s = (6 / 5) · t
The equation of the relationship between the distance traveled by the backpacker and time taken is equal to s = (6 / 5) · t.
To learn more on linear relationships: https://brainly.com/question/10713055
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