He total membership cost in dollars, y, at World Fitness Health Club can be represented by the following graph, where x is the number of months of membership. Use the graph to create a linear function when the one time registration fee is $25. At Purple Experiment Health Club, a member pays y dollars, which includes a one-time registration fee of $15 plus $20 each month, x, they are a member.

Which club will be least expensive if John plans to attend for 8 months?

World Fitness because after 8 months John would have paid $145.

Purple Experiment because after 8 months John would have paid $145.

World Fitness because after 8 months John would have paid $175.

Purple Experiment because after 8 months John would have paid $175.

Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12

What mathematical statement is missing ? ? the answer is b