A website is offering a promotion, during which customers can buy up to 100 photos for a flat fee. The cost per photo varies inversely with the number of photos a customer buys, as shown in the table below. What function models the data? Number of photos (n) 20 40 50 80 Cost per photo in cents (c) 5 2.5 2 1.25 (1 point) Responses nc = 25 nc = 25 nc = 50 nc = 50 nc = 100 nc = 100 nc = 400
The cost per photo is inversely proportional to the number of photos a customer buys. This means that as the number of photos increases, the cost per photo decreases.
To find the function that models the data, we can calculate the value of c in terms of n. Since the cost per photo varies inversely with the number of photos, we can write
c = k/n
where k is a constant.
We can calculate the value of k using one of the data points. Let's use the first data point (n = 20, c = 5):
5 = k/20
k = 100
Now we can substitute the value of k into the equation:
c = 100/n
Therefore, the function that models the data is:
c = 100/n