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
a nc = 25
b nc = 50
c nc = 100
d nc = 400
The function that models the data is:
c = kn
where c represents the cost per photo in cents, n represents the number of photos, and k is a constant.
To find the value of k, we can use any of the data points given in the table. Let's use the second data point (n=40, c=2.5):
2.5 = k * 40
k = 2.5/40
k = 0.0625
Therefore, the function that models the data is:
c = 0.0625n
So, the correct response is:
a nc = 25