a photographer charges a sitting fee of $15, and charges $4 for each 5-in. by 7-in.photograph the customer order. the linear function c=15+4n 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?
Answer:
C. 8
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
n
=
35
4
Decimal Form:
n
=
8.75
Mixed Number Form:
n
=
8
3
4
The number of photographs that can be purchased is 8.
A straight line on the coordinate plane is represented by a linear function.
A linear function always has the same and constant slope.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
In another word, a linear function is a function that varies linearly with respect to the changing variable.
Given the linear function
c = 15 + 4n where n is the number of photographs purchased and c is the cost
Also given that we cannot spend more than $50.00
So,
c ≤ 50
⇒ 15 + 4n ≤ 50
⇒ 4n ≤ 35
⇒ n ≤ 8.75
So, it will be 8 photographs logically because there is no sense of 0.75 photographs since it is a whole quantity.
Hence "The number of photographs that can be purchased is 8".
For more about the linear function,
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