The situation is defined by a linear function
The function is C(p) = 40 + 2.50p
where C(p) is the cost (y-value) and p represents the number of photos ordered
Here, we are trying to get a linear function out of the information given in the question.
Summarily, a school photo will cost $40, then a price of $2.50 per the number of photos ordered
Let the total cost of the shoot be C
Let the number of photos ordered be p
Now since it is $2.50 per photo, so the cost for p photos will be $2.50 * p = $2.50p
The total cost of the shoot including the cost for p photos will now be;
C = 40 + 2.5p
where the total cost is dependent on the number of photos ordered
The above equation is the linear function.
Hence, Yes , the situation is defined by a linear function
To graph the function, we use the cost C on the y-axis, while the number of photos p will be on the x-axis
To get different values of C, we need different values for p. So to graph the function, we need to select varying value of the number of photos P