An architect designs a door that is 3.5 feet wide for a house under construction. the contractor reduces the width of the door to 3.25 feet. 12 inches make 1 foot. by how many inches does the contractor reduce the width of the door?

the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).