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Evaluating an expression with one variable

CCSS.Math: ,

Video transcript

a local hospital is holding a raffle as a fundraiser the individual cost of participating in the raffle is given by the following expression 5t plus 3 or 5 times t plus 3 where t represents the number of tickets someone purchases evaluate the expression when t is equal to 1 T is equal to 8 and T is equal to 10 so let's first take the situation where t where t is equal to 1 then this expression right over here becomes and I'll use that same color it becomes 5 times 1 5 times 1 plus 3 5 times 1 plus 3 and we know from order of operations you do the multiplication before you do the addition so this will be 5 times 1 is 5 plus 3 and then this is clearly equal to this is equal to 8 now let's do it when T is equal to 8 so when t is equal to 8 when T is equal to 8 this expression becomes and I'll do the same colors again 5 times 8 5 times 8 plus 3 plus 3 same color of green plus 3 and once again 5 times 8 is 40 40 and then we have the plus 3 there so this is equal to 43 and so we have the last situation with T is equal to 10 I'll do that in blue I'll do that in blue so we have 5 times 10 so 5 T is 5 times 10 instead of a T we put a 10 there 5 times 10 plus 3 plus 3 that's a slightly different shade of green whether you get the idea 5 times 10 is 50 we do 50 and then we're gonna have to add 3 to that and that is equal to 53 and we're done