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Question 288217: Please help me with this please:
Tracy wants to purchase custom-made bumper stickers to advertise her business. Two websites offer different deals:
Website A: Pay a fee of $127.00, plus $0.45 per bumper sticker
Website B: Pay a fee of $100.00, plus $0.60 per bumper sticker.
At least how many bumper stickers must Tracy purchase in order for Website A to be the better choice?
Write an appropriate inequality and solve it algebraically.
Answer by jaydducote(11)   (Show Source):
You can put this solution on YOUR website! You want website A to be the better choice. In this case, since you are asked about the price of two different companies, the lower price is preferred. An equal price is not a better price, so you will need to use > or < instead of greater/less than OR equal to. Since you want website A to be a smaller price, your inequality needs to show that Website A < Website B.
Turn each website into an algebraic expression by identifying the variable and the constant. The variable here is the bumper sticker. The word "per" is always an indicator for a variable. So your expressions could look like this:
Website A: 127+0.45x
Website B: 100+0.60x
The price of either company will be the fee plus a unit price times the number of units.
Now plug those expressions into the inequality:
Website A < Website B
127+0.45x<100+0.60x
Combine like terms. Since 127 is bigger and on the left, I would subtract 100 from both sides to cancel it out on the right.
127-100+0.45x<100-100+0.60x
27+0.45x<0.60x
Now do the same with the 0.45x
27+0.45x-0.45x<0.60x-0.45x
27<0.15x
Now since the 0.15 is a coefficient of x, you need to divide.
27/0.15<0.15x/0.15
180
So this means that x must be greater than 180. 180 would not be a correct answer to this inequality because 180<180 is NOT true. 180=180 is true, but this says 180
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