c = 55t
Step-by-step explanation:
To find the relationship between the cost (c) and the number of ticket (t), the first thing we do is find the rate of change
The rate of change = slope = change in c/change in t
using points (t, c): (2, 110) and (5, 275)
The rate of change = (275-110)/(5 - 2)
The rate of change = 165/3
The rate of change = 55
Using proportional equation:
y = kx
where k = constant of poroportionality
The equation:
y = kx
where y = cost of ticket = c
x = numer of tickets = t
k = constant of poroportionality = rate of change
k = 55
Our equation becomes:
c = kt
Th equation that describes the relationship:
c = 55t