Monday, February 8, 2010

True or false and show your work?

to help move his furniture, a man rents a truck for $25.00 per day pluse 20 cents per mile. if he has budgeted $75 for trasportation expenses, he will be able to drive the truck 250 miles if the move takes 1 day.True or false and show your work?
True





25 + (0.20)(250) 鈮?75


(0.20)(250) 鈮?50


50 鈮?50





He will spend exactly $75 if he has the truck for one day and drives 250 miles at 20 cents per mile.True or false and show your work?
(250*.2) + $25 = $75





TRUE
true...


as the number of miles that can be travelled = (75 - 25)/.2


=50/0.2


=250miles
Total cost (T)= per day charge (C) + .2*x miles





T = 25 + .2*250miles = $75





TRUE
Let's translate into formula:


d= # of day m = # of miles


25d + 0.20m


Will he be able to drive the truck 250 miles if the move takes 1 day? He will if only and if 25d + 0.20m is less or equal to 75


25*1 + 0.20*250 = 25 + 50 = 75


75 = 75 =%26gt; he will be able to drive the truck for his move
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