Question

Which description best compares the two functions

Answer 1

Function 1 can be described by
  c = 35 +10p
Function 2 can be described by
  c = 35 +15p

The functions have the same initial value.     <=== ANSWER


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The functions are not the same. The rate of change for Tour 2 is greater.

Answer 2

Tour 1:
Rate of change: r1=(C2-C1)/(P2-P1)
r1=(55-45)/(2-1)
r1=10/1
r1=10

C-C1=r(P-P1)
C-45=10(P-1)
C-45=10P-10
C-45+45=10P-10+45
C=10P+35

Initial Value:
P=0→C(0)=10P+35=10(0)+35=0+35→C(0)=35

Tour 2:
Rate of change: r2=(C2-C1)/(P2-P1)
r2=(65-50)/(2-1)
r2=15/1
r2=15

Initial Value: C(0)=35

Answers:
The functions have the same initial value