Question

A wedding photographer has two different rates they charge to take photographs.Their first rate includes a $500 flat fee and then an additional $75 per hour. Theirsecond rate includes a $200 flat fee and then an additional $85 per hour.After how many hours does the second rate make the wedding photographer moremoney than the first rate?

Answer 1

From the question;

A wedding photographer has two different rates they charge to take photographs.

And

Their first rate includes a $500 flat fee and then an additional $75 per hour.

Their second rate includes a $200 flat fee and then an additional $85 per hour.

We are to find

After how many hours does the second rate make the wedding photographer more

money than the first rate?

First we need to find how many hours it will take to earn equal amount with the two rates

Let,

The number of hours = x

Therefore,

Fee for first rate in x hours = $500 +$75x

Fee for second rate in x hours = $200 + $85x

Therefore

Since after x hours

First rate = Second rate, then

`500+75x=200+85x`

Solving for x, we have

`\begin{gathered} 500-200=85x-75x \\ 300=10x \\ x=(300)/(10) \\ x=30\text{ hours} \end{gathered}`

Therefore with 30hours of work the photographer will make equal amount with the two rates.

Hence

After how 30 hours the second rate make the wedding photographer more

money than the first rate