Steve is making crafts to sell at a benefit. It takes him 3/4 of an hour to make a trivet and 1/2 hour to make a wooden spoon, He has 3 hours to work.
Write an equation to show the relationship between how many trivets and how many spoons Steve can make in 3 hours.
call t = number of trivets
call s = number of spoons
then
3/4 hr/trivet * t trivets +(1/2) hr/spoon * s spoons = 3 hr
or
.75 t + .5 s = 3
How do I make a function for this problem
To write an equation for the relationship between the number of trivets and wooden spoons Steve can make in 3 hours, we need to consider the time it takes to make each item.
Let's determine how many trivets Steve can make in 3 hours. We are given that it takes him 3/4 of an hour to make one trivet. We can represent the number of trivets Steve can make by the variable "T".
The time it takes to make T trivets is equal to 3/4 of an hour multiplied by the number of trivets. So, the time it takes to make T trivets is (3/4) * T.
Similarly, let's determine how many wooden spoons Steve can make in 3 hours. We are given that it takes him 1/2 hour to make one wooden spoon. We can represent the number of wooden spoons Steve can make by the variable "S".
The time it takes to make S wooden spoons is equal to 1/2 of an hour multiplied by the number of spoons. So, the time it takes to make S wooden spoons is (1/2) * S.
Since Steve has 3 hours to work, the total time he spends making trivets and spoons should add up to 3 hours:
(3/4) * T + (1/2) * S = 3
This equation represents the relationship between the number of trivets and wooden spoons Steve can make in 3 hours.