Dylan is scuba diving at a constant rate toward the ocean floor. The equation y = −2.5x − 5 can be used to represent this situation, where y is the depth of Dylan in meters below sea level and x is the number of seconds Dylan has been swimming. Which statement best describes the depth of Dylan, given this equation?

A. Dylan started scuba diving 2.5 meters below sea level and is ascending at a rate of 2.5 meters per second.

B. Dylan started scuba diving 5 meters below sea level and is ascending at a rate of 2.5 meters per second.

C. Dylan started scuba diving 2.5 meters below sea level and is descending at a rate of 2.5 meters per second.

D. Dylan started scuba diving 5 meters below sea level and is descending at a rate of 2.5 meters per second.

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