Adrian's initial cost is $60, which is less than Lance's initial cost of $85.
Adrian's rate of change is greater at $20 per visit, compared to Lance's rate of change at $3 per visit.
Let's break this down:
The function for Lance's total cost is given by y=3x+85, where y is the total cost and x is the number of visits.
From the graph for Adrian's total cost:
Initial value: At x=0, Adrian's total cost is $60.
The rate of change (slope): From the graph, it appears that for each additional visit (x value increase by 1), Adrian's total cost increases by $20.
Now let's compare:
Initial Value:
Lance's initial value: Plug in x=0 into y=3x+85:
y=3(0)+85=85.
Adrian's initial value: From the graph, Adrian's initial cost is $60.
Lance's initial cost is $85, while Adrian's initial cost is $60. Adrian's initial cost is less.
Rate of Change:
Lance's rate of change: The coefficient of x in Lance's function is 3. So, for each additional visit (x value increase by 1), Lance's total cost increases by $3.
Adrian's rate of change: From the graph, for each additional visit (x value increase by 1), Adrian's total cost increases by $20.
Adrian's rate of change is greater than Lance's rate of change.