Examine the diagram, where AB←→ is secant to the circle at points A and B, and CD←→ is secant to the circle at points C and D. The lines intersect inside the circle at point P, which is not the center.
A circle with no center shown and two secants as described in the text. Segment B P equals 6, segment C P equals 7, and segment D P equals 12.

What is the length of AP¯¯¯¯¯¯¯¯?
Enter the correct value.

In the secant secant theorem,

AP × BP = CP × DP

AP × 6 = 7 × 12

AP = 7 × 2 = 14

14

The relationship is proportional.

Step-by-step explanation:

The cost of 10 pounds of grapes at stall A is $15.

So, the price rate of grapes is dollars per pound.

So, the relation between the weight (w, in pounds) and the price of grapes (c, in dollars) are related as  

c = 1.5w ......... (1)

So, from the above equation, we can say that the relationship is proportional. (Answer)