Question

A wedding photographer charges an hourly rate plus a service fee. As a courtesy to the customer, after 8 hours of work, the photographer waives the service fee and drops the hourly rate. The cost of the photographer's services can be modeled by this piecewise function, where x represents the number of hours worked.

f(x)={125x+300, x≤8115x, x>8

How much would it cost for 6 hours of work?

Answer 1

For 6 hours of wedding photography, using the pricing model f(x) = 125x + 300, the cost would be $1050.

Step-by-step explanation:

The student has asked how much it would cost for 6 hours of work with a wedding photographer who has a piecewise pricing model. Since 6 hours is less than the 8-hour threshold at which the pricing changes, we use the first part of the piecewise function to calculate the cost:

f(x) = 125x + 300, where x is the number of hours worked.

Substituting 6 for x gives us:
f(6) = 125(6) + 300
= 750 + 300
= 1050

Therefore, the cost for 6 hours of work would be $1050.