[Script Info] Title: [Events] Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text Dialogue: 0,0:00:00.62,0:00:03.82,Default,,0000,0000,0000,,A local hospital is holding\Na raffle as a fundraiser. Dialogue: 0,0:00:03.82,0:00:06.39,Default,,0000,0000,0000,,The individual cost of\Nparticipating in the raffle Dialogue: 0,0:00:06.39,0:00:10.81,Default,,0000,0000,0000,,is given by the following\Nexpression-- 5t plus 3, Dialogue: 0,0:00:10.81,0:00:14.61,Default,,0000,0000,0000,,or 5 times t plus 3,\Nwhere t represents Dialogue: 0,0:00:14.61,0:00:17.32,Default,,0000,0000,0000,,the number of tickets\Nsomeone purchases. Dialogue: 0,0:00:17.32,0:00:22.33,Default,,0000,0000,0000,,Evaluate the expression when t\Nis equal to 1, t is equal to 8, Dialogue: 0,0:00:22.33,0:00:25.79,Default,,0000,0000,0000,,and t is equal to 10. Dialogue: 0,0:00:25.79,0:00:27.62,Default,,0000,0000,0000,,So let's first\Ntake the situation Dialogue: 0,0:00:27.62,0:00:31.53,Default,,0000,0000,0000,,where t is equal to 1. Dialogue: 0,0:00:31.53,0:00:33.36,Default,,0000,0000,0000,,Then this expression\Nright over here Dialogue: 0,0:00:33.36,0:00:39.75,Default,,0000,0000,0000,,becomes-- and I'll use that\Nsame color-- becomes 5 times 1. Dialogue: 0,0:00:39.75,0:00:43.68,Default,,0000,0000,0000,,5 times 1 plus 3. Dialogue: 0,0:00:43.68,0:00:47.85,Default,,0000,0000,0000,,5 times 1 plus 3, and we know\Nfrom order of operations, Dialogue: 0,0:00:47.85,0:00:50.64,Default,,0000,0000,0000,,you do the multiplication\Nbefore you do the addition. Dialogue: 0,0:00:50.64,0:00:54.87,Default,,0000,0000,0000,,So this will be 5\Ntimes 1 is 5 plus 3, Dialogue: 0,0:00:54.87,0:00:59.30,Default,,0000,0000,0000,,and then this is\Nclearly equal to 8. Dialogue: 0,0:00:59.30,0:01:02.36,Default,,0000,0000,0000,,Now let's do it when\Nt is equal to 8. Dialogue: 0,0:01:02.36,0:01:07.30,Default,,0000,0000,0000,,So when t is equal to 8,\Nthis expression becomes-- Dialogue: 0,0:01:07.30,0:01:16.99,Default,,0000,0000,0000,,and I'll do the same colors\Nagain-- 5 times 8 plus 3. Dialogue: 0,0:01:16.99,0:01:19.69,Default,,0000,0000,0000,,Same color of green. Dialogue: 0,0:01:19.69,0:01:25.65,Default,,0000,0000,0000,,And once again, 5 times 8 is\N40, and then we have the plus 3, Dialogue: 0,0:01:25.65,0:01:28.73,Default,,0000,0000,0000,,there so this is equal to 43. Dialogue: 0,0:01:28.73,0:01:30.27,Default,,0000,0000,0000,,And so we have the\Nlast situation, Dialogue: 0,0:01:30.27,0:01:31.90,Default,,0000,0000,0000,,with t is equal to 10. Dialogue: 0,0:01:31.90,0:01:34.44,Default,,0000,0000,0000,,I'll do that in blue. Dialogue: 0,0:01:34.44,0:01:36.66,Default,,0000,0000,0000,,So we have 5 times 10. Dialogue: 0,0:01:36.66,0:01:41.67,Default,,0000,0000,0000,,So 5t is 5 times 10. Dialogue: 0,0:01:41.67,0:01:43.33,Default,,0000,0000,0000,,Instead of a t, put a 10 there. Dialogue: 0,0:01:43.33,0:01:47.25,Default,,0000,0000,0000,,5 times 10 plus 3. Dialogue: 0,0:01:47.25,0:01:49.04,Default,,0000,0000,0000,,That's a slightly\Ndifferent shade of green, Dialogue: 0,0:01:49.04,0:01:50.25,Default,,0000,0000,0000,,but I think you get the idea. Dialogue: 0,0:01:50.25,0:01:52.97,Default,,0000,0000,0000,,5 times 10 is 50. Dialogue: 0,0:01:52.97,0:01:55.31,Default,,0000,0000,0000,,We do 50, and then we're going\Nto have to add 3 to that, Dialogue: 0,0:01:55.31,0:01:58.40,Default,,0000,0000,0000,,and that is equal to 53. Dialogue: 0,0:01:58.40,0:02:00.19,Default,,0000,0000,0000,,And we're done.