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CAN ANYONE HELP ME!!! THIS IS SO HARD

Jenna's band is going to record a CD at a recording studio. They will pay $225 to use the studio for one day and $80 per hour for sound technicians. Jenna has $205 and can reasonably expect to raise up to an additional $340 by taking pre-orders for the CDs.

Part 1 out of 3

Complete the explanation of how the inequality 205 ≤ 225 + 80n ≤ 545 can be used to find the number of hours Jenna and her band can afford to use the studio and sound technicians.

The total cost is equal to the cost of the studio for one day plus the cost of the technicians per (Hour/Day/Minute) .

Let n be the number of hours in the studio.

The cost of the studio for one day is $____. The cost of the technicians is $80 per hour, or $80n. So, the total cost of the studio for one day is 225 + 80n.

Jenna's band is willing to spend between $205 and $545. So, the total cost 225 + 80n must be in this range. The inequality that models this is ___ ≤ 225 + 80n ≤ ___

Respuesta :

fichoh

The studio Cost per day as a function of the number of hours used by the sound technician and the inequality which models the data is :

  • T(n) = 225 + 80n
  • $205 ≤ (225 + 80n) ≤ $545

Total studio cost :

(studio fee per day + sound technician fee per hour)

If the Number of hours spent in studio = n

Total studio cost, T(n) = 225 + 80n

Amount at hand = $205

Additional earning from pre-orders = $340

This means that minimum amount Jenna can afford = amount at hand = $205

The maximum amount Jenna can afford = (Amount at hand + additional earning) = ($205 + $340 = $545)

Therefore in other to afford studio cost :

Minimum ≤ Studio cost ≤ maximum amount

$205 ≤ (225 + 80n) ≤ $545

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