The cost of the vinyl for a billboard advertisement is a function of its size. A company wants an advertisement to have a height that is 3 feet more than its width. The vinyl company charges a flat rate of $100 plus an additional $10 per square foot. The company can spend no more than $1000 on the advertisement. What is the maximum height, to the nearest tenth, of an advertisement that the company can afford?

step-by-step explanation:

the answer is 128

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).

slope =   (y2 -y1) ÷ (x2 -x1)

slope = (0 -0) / (-5, -7)

slope = 0 / -12 = 0

the slope of the line is zero.   it is perfectly horizontal.

step-by-step explanation: