To print T-shirts includes $50 for the design and $4 per shirt. Express the cost of printing the T-shirts as a function of the number of T-shirts printed and then find the cost for printing 500 T-shirts.
MY WORK:
My linear function model is:
T = $4P + $50...Is this correct?
To print 500 T-shirts will cost:
500 = 4P + 500
500 - 50 = 4P
450 = 4P
450/4 = P
$112.50 = P
Let P = price
Let T = T-shirts
Does this make sense? Is this right?
Not until after you have said that "P" is the number of T-shirts and "P" is the cost of printing! Which seems peculiar to me!
Oops! You were using "T" to mean the number of T-shirts and "P" to mean the cost of printing! That makes more sense but then the formula is wrong.To print 500 T-shirts will cost:
500 = 4P + 500
Look at an easy case. If you were to print only one T-shirt, it would cost $50 for the design and 4 dollars for the shirt, a total of $54, not "1= 4P+ 500".
That's what confused masters.
500 - 50 = 4P
450 = 4P
450/4 = P
$112.50 = P
Let P = price
Let T = T-shirts
Does this make sense? Is this right?
This is the biggest problem I have in math--->converting word problems to equations. Students in general have a real hard time with word problems.
As you know, they are not clearly stated. Most of the time, knowing which operation or combination of math operations to apply to find the answer is the main struggle for students.