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​

Answer:4.5 hours (4  1/2 hours)Step-by-step explanation:Let's write out and solve an inquality:$30 + ($80/hr)x ≤ $400Note 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 ≤ $370dividing both sides by ($80/hr), we get:             $370x = ------------------- = 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.