Answer: t = 10.50c
Step-by-step explanation: The relationship between the number of climbs, c, and the total cost, t, is proportional. This means that the ratio of t to c is constant. One way to represent this relationship is through an equation of the form:
t = kc
where k is a constant of proportionality. In this case, we know that 5 climbs cost $52.50, so we can use this information to find the value of k:
52.50 = k(5)
k = 52.50/5 = 10.50
So the equation that represents the total cost, t, of c climbs is:
t = 10.50c
Where t is the total cost, c is the number of climbs and 10.50 is the constant of proportionality.