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

8 photos is the max number; correct answer is "8 or fewer photos."

Step-by-step explanation:

Write a formula for the photographer's total charges and use the operator "≤" to link this formula to $50:

$15 + ($4/photo)x ≤ $50.

Solve this for x, the number of photographs that can be purchased:

Subtracting $15 from both sides yields:

$15 + ($4/photo)x ≤ $50  =>  ($4/photo)x ≤ $35, or

x ≤ $35/($4/photo) = 8.75

Since we're interested onlyl in whole photos, we round this result down to 8.  That's the number of photos that can be purchased for $50 or less.