Question

Eli will photograph a wedding for a flat fee of $1000 or for an hourly rate of $120. For what lengths of time would the hourly rate be less expensive

Answer 1

How long would it take $120/hr to add up to $1000?

Divide $1000 by $120/hr:  

 $1000
----------- = 8 1/3 hours, or 8 hours 20 minutes.
$120/hr

Answer 2

The hourly rate will be the less expensive option out of the two so long as the photographer works for anything 8 hours and below. x ≤ 8 hours

The flat rate costs $1,000 but if you go by an hourly option, you would pay $120 per hour.

The hourly rate will be less expensive so long as it totals up to less than $1,000.

The maximum amount of time it would take before the hourly rate became $1,000 can be found by:

= Flat fee / Hourly rate

= 1,000 / 120

= 8.33

= 8 hours

At 8 hours, the cost would be:

= 8 x 120

= $960

In conclusion, between 0 to 8 hours, the hourly rate would be less expensive.

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