A school wants to rent a cotton candy machine for a carnival. There is a deposit to rent it plus an additional $8 per hour. The total cost to rent the machine for 5 hours is $115. Assume the relationship is linear. Which equation represents this relationship?

So this is a two step equation 5x8=40.this is for the five hours; we still need to find out what the flat rate is. 115-40=75 the flat rat is $75

Therefore it is a flat rate of $75 and an additional $8/hour so your linear equation would look like

Y=8x+75

Y would be the total and x would be the amount of hours

2y (x-2) (x^2 +4)  

or see below for imaginary factors

Step-by-step explanation:

2x^3 y + 8xy − 4x^2 y − 16y

The greatest common factor is 2y

2y ( x^3 + 4x - 2x^2 -8)

Rearranging the order

2y ( x^3 -2x^2 +4x-8)

Factor by grouping

2y ( x^3 -2x^2         +4x-8)

Taking x^2 from the first group and 4 from the second

2y (x^2 (x-2)  +  4(x-2))

Factor out (x-2)

2y (x-2) (x^2 +4)

If you want imaginary factors

continue

2y (x-2) ( x^2 - (2i)^2)

2y ( x-2) ( x-2i) (x+2i)