logarithmn t , time in seconds V(t) in miles per Product- sum "( 3, 80 ) ( 6, 160 ) hour y= atbin ( x ) 2 3 80 x40 8 0 = a + b ( 3) 160 = atblu (6) .26 160 +90 9 206.8 8 0 = b . lu (5) = a 160 - bin (6 ) = 0 12 240 80 - b. lu ( 3) = 160 / - 6Inc6) a. Determine the velocity of the plane after 48 seconds. 1 0 l n (6) - b - Inc3 ) = 160-80 BC Inc6) - In( 37 = 80 blln 2)=30 b. Use the function properties that you learned previously to make a conjecture as to the type of function that models the given data. What type of function models this pattern? 4=a + 115. 4156 Inx 1 115. 4156 80= 0 + 115, 416 6 . In3 c. Why can't you use the pattern to find V(20) ? 80 - 115. 415 6 6 12 3 = Q a = - 46,797 14 = - 46,79 7+ 115, 456 6 In (X ) equation d. Find a particular equation for V(t) and verify that all of the V(t) values in the given table satisfy the equation. e. Evaluate V (20). f . How long will it take the plane to reach 700 mph? Give both, the exact (without calculator) and approximate (with calculator) answers