Problema Solution
Seats in the fifth row at a concert cost $120, and seats in the 30th row costs $60. What is the rate of change for this scenario ?
Answer provided by our tutors
A rate of change is a rate that describes how one quantity changes in relation to another quantity.
If x is the independent variable and f(x) is the dependent variable, then rate of change = change in f(x) / change in x
in our case let
x = the row at the concert
f(x) = the tickets cost depending on the row
x = 5 and f(5) = 120
x = 30 and f(30) = 60
rate of change = (f(5) - f(30))/(5 - 30) = (120 - 60) / (-25) = - 40/25 = - 8/5 = - 1.6 $ per row
the rate of change of this scenario is - 1.6 $ per row.