The functions have the same initial value. The table goes up by 10 per person so at 0, it would be 35 and on the graph, it is 35 at 0
The description that best compares the two functions is:
The functions have the same initial value.
We are given the table for Tour 1 as:
People cost($)
1 45
2 55
3 65
4 75
The function that represents these points is given by:
y=10x+35
where x represent people and y represent the cost of x people.
This means that the rate of change is: 10
and initial value i.e. when x=0 is: 35
Tour 2 is given by:
People Cost ($)
0 35
1 50
2 65
3 80
4 95
Hence, we see that the initial value is: 35
and the rate of change of the function is: 15
(
Since,
[tex]\dfrac{50-35}{1-0}=\dfrac{65-50}{2-1}=\dfrac{80-65}{3-2}=\dfrac{95-80}{4-3}=15[/tex] )
