Elena is scheduling a photoshoot for her softball team. the teams budget for the shoot is $400. the pbotgrapher charges $20 for every 15 minutes of the shoot, and the location where they want to have their photos charges $30 for a photography permit.

how long can elenas team have for their photoshoot

4.5 hours (4  1/2 hours)

Step-by-step explanation:

Let's write out and solve an inquality:

$30 + ($80/hr)x ≤ $400

Note that $20/ 15 min is equivalent to $80/hr.

We need to solve for x.

Subtracting $30 from both sides of this equation, we obtain:

($80/hr)x ≤ $370

dividing both sides by ($80/hr), we get:

            $370

x = = 4.625 hrs

       ($80/hr)

Note that the photographer charges for every 15 minutes whether or not he is working during each 15 minutes.  He will not pro-rate his charge.  If you go over 4 1/2 hours of work, you will have to pay for another 1/4 hour (15 minutes), even if the total length of time the photographer works is less than 4 3/4 hours.

Thus, for $400 the longest photography session would be 4.5 hours, or 4 1/2 hours, for which Elena would pay $30 + ($80/hr)(4  1/2 hr) = $390.  She would have $10 left over, because $10 would not be enough to pay for another full 15 minutes.

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