Jenna's band is going to record a cd at a recording studio. they will pay $200 to use the studio for one day and $85 per hour for sound technicians. jenna has $125 and can reasonably expect to raise up to an additional $425 by taking pre-orders for cds. complete the explanation of how the inequality 125 ≤ 200 + 85n ≤ 550 can be used to find the number of hours jen and herb and can afford to use the studio and sound technicians.
explain your answer.

200 < 225 + 80x < 550

The 200 is the amount the Jenna currently have. 

225 + 80x is the amount that Jenna has to pay given x number of hours.

550 is the sum of Jenna's 200 and additional 350 she can get by selling pre-ordered Cds. This is the maximum amount she can pay for the studio rental and sound technicians.

225 + 80x < 550

80x < 550 -225

80x < 325

80x / 80 < 325/80

x < 4.06 or 4 hours

225 + 80x → 225 + 80(4) = 225 + 320 = 545

The number of hours for the sound technician will range from 1 hour to 4 hours. 

Assuming they will use 6 hours.

225 + 80(6) = 225 + 480 = 705

705 - 550 = 155

Jenna has to raise an additional $155 to pay off the studio rent and 6 hours of sound technicians. 

hi there!

first we need to find out how much they are adding to each number to make the next number.

ex: 4 + 4 = 8, 8 + 8 = 16, and so on.

so continuing with 32,

32 + 32 = 64

64 + 64 = 128

128 + 128 = 256

256 + 256 = 512

4, 8, 16, 32, 64, 128, 256, 512

the 8th term of the sequence will be 512

hope this ! ~

this is a good question! i'll do some research and come back when i have the answer!