The line on the graph passes through points A(1,3) and B(7,1). A) Calculate the gradient of line AB. B) Find the gradient of a line perpendicular to AB. C) Find the equation of passing through the point (4,2) and perpendicular to AB.

Step-by-step explanation

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).

the furthest the dog can be is 508 meters away from the house, and the closest he can be is 492 meters away from the house.