Question

two valentine photo services charge differently. - service a: $12 plus $4 per photo - service b: $6 per photo when does service a cost more than service b? what is the inequality for the problem? what is the solution? when does service a cost more than service b? write the answer as a sentence.

Explanation:

Step1: Define variables and cost functions

Let $x$ = number of photos.
Cost of Service A: $C_A = 12 + 4x$
Cost of Service B: $C_B = 6x$

Step2: Set up the inequality

We want $C_A > C_B$, so:
$12 + 4x > 6x$

Step3: Solve the inequality

Subtract $4x$ from both sides:
$12 > 2x$
Divide both sides by 2:
$6 > x$ or $x < 6$

Answer:

1. Inequality: $12 + 4x > 6x$
2. Solution: $x < 6$
3. Sentence: Service A costs more than Service B when the number of photos is less than 6.