1 00:00:00,620 --> 00:00:03,820 A local hospital is holding a raffle as a fundraiser. 2 00:00:03,820 --> 00:00:06,390 The individual cost of participating in the raffle 3 00:00:06,390 --> 00:00:10,810 is given by the following expression-- 5t plus 3, 4 00:00:10,810 --> 00:00:14,610 or 5 times t plus 3, where t represents 5 00:00:14,610 --> 00:00:17,320 the number of tickets someone purchases. 6 00:00:17,320 --> 00:00:22,330 Evaluate the expression when t is equal to 1, t is equal to 8, 7 00:00:22,330 --> 00:00:25,790 and t is equal to 10. 8 00:00:25,790 --> 00:00:27,620 So let's first take the situation 9 00:00:27,620 --> 00:00:31,530 where t is equal to 1. 10 00:00:31,530 --> 00:00:33,360 Then this expression right over here 11 00:00:33,360 --> 00:00:39,750 becomes-- and I'll use that same color-- becomes 5 times 1. 12 00:00:39,750 --> 00:00:43,680 5 times 1 plus 3. 13 00:00:43,680 --> 00:00:47,850 5 times 1 plus 3, and we know from order of operations, 14 00:00:47,850 --> 00:00:50,640 you do the multiplication before you do the addition. 15 00:00:50,640 --> 00:00:54,870 So this will be 5 times 1 is 5 plus 3, 16 00:00:54,870 --> 00:00:59,300 and then this is clearly equal to 8. 17 00:00:59,300 --> 00:01:02,360 Now let's do it when t is equal to 8. 18 00:01:02,360 --> 00:01:07,300 So when t is equal to 8, this expression becomes-- 19 00:01:07,300 --> 00:01:16,990 and I'll do the same colors again-- 5 times 8 plus 3. 20 00:01:16,990 --> 00:01:19,690 Same color of green. 21 00:01:19,690 --> 00:01:25,650 And once again, 5 times 8 is 40, and then we have the plus 3, 22 00:01:25,650 --> 00:01:28,730 there so this is equal to 43. 23 00:01:28,730 --> 00:01:30,270 And so we have the last situation, 24 00:01:30,270 --> 00:01:31,900 with t is equal to 10. 25 00:01:31,900 --> 00:01:34,440 I'll do that in blue. 26 00:01:34,440 --> 00:01:36,660 So we have 5 times 10. 27 00:01:36,660 --> 00:01:41,670 So 5t is 5 times 10. 28 00:01:41,670 --> 00:01:43,330 Instead of a t, put a 10 there. 29 00:01:43,330 --> 00:01:47,249 5 times 10 plus 3. 30 00:01:47,249 --> 00:01:49,040 That's a slightly different shade of green, 31 00:01:49,040 --> 00:01:50,248 but I think you get the idea. 32 00:01:50,248 --> 00:01:52,970 5 times 10 is 50. 33 00:01:52,970 --> 00:01:55,310 We do 50, and then we're going to have to add 3 to that, 34 00:01:55,310 --> 00:01:58,400 and that is equal to 53. 35 00:01:58,400 --> 00:02:00,190 And we're done.