A photographer charges a sitting fee of $15, and charges $4 for each 5-in. by 7 in. photograph the customer orders. The linear function can be used to calculate the customer’s cost (c) based on the number of photographs (n) purchased. How many photographs can be purchased if you cannot spend more than $50.00?
a.
No more than 7 photographs
b.
No more than 3 photographs
c.
No more than 8 photographs
d.
No more than 9 photographs

Please select the best answer from the choices provided

A
B
C
D

It’s C

The number of photographs is "No more than 8 photographs" ⇒ C

Step-by-step explanation:

The form of the linear function is y = m x + b, where

∵ The photographer charges a sitting fee of $15

- That means its a fixed amount

∴ The fixed amount = 15

∵ He charges $4 for each 5 in. by 7 in.photograph the

   customer orders

∴ The constant rate = 4

∵ The customer’s cost is c

∵ The number of photographs purchased is n

∴ The linear function is c = 4 n + 15

∵ You cannot spend more than $50

- That means c ≤ 50

∴ 4 n + 15 ≤ 50

- Subtract 15 from both sides

∴ 4 n ≤ 35

- Divide both sides by 4

∴ n ≤ 8.75

∵ The number of photographs must be integer

∵ The first integer smaller than 8.75 is 8

∴ The number of photographs is "No more than 8 photographs"

44

step-by-step explanation: