Identifying initial value and rate of change from word problems or situations
1. some carpet cleaning costs are shown in the table. find and interpret the rate of change and
the initial value for this situation.
rooms cleaned
1
2t 3t 4
cost ($)
125
175
225
275
rate of change:
initial value
raymond's parents will pay for him to take sailboard lessons during the summer. he can take
half-hour group lessons or half-hour private lessons. the relationship between cost and
number of lessons is linear.
2
2. find the rate of change and initial value for the group lessons.
lessons
| group
55
85
115
145
rate of change:
initial value