Dante has been shopping for a new bike. He found two bikes that he likes equally-one is sold at Mike's Bikes for $300, and the o
ther is sold at Cycle Center for $275. Dante has a coupon for 25% off any bike at Mike's Bikes. However, the manufacturer of the bike at Cycle Center has included a $40 rebate after the purchase of the bike.
Where should Dante purchase his mountain bike?
(I would appreciate if you show your work)
Hello there! So, let's do this a bit at a time. Mike's Bikes sells a bike for $300, but gives a 25% discount for any bike in the store. To find out how much he would pay for the bike, multiply 300 by 75% (0.75). This is because you are still paying 75% of the original price for that bike. When you do, you get 225. That's $225 for the bike at Mike's Bikes. Now, the one at Cycle Center sells a bike for $275, but gives a rebate of $40 after purchasing the bike. A rebate is basically a refund: you get money paid back to you. In this case, we would subtract 40 from 275, because you're basically getting paid back some of what you did pay. 275 - 40 is 235. That's $235 for the bike at Cycle Center. I'll write the prices of the bikes out to make it easier to read.
Mike's Bikes: $225 Cycle Center: $235
Okay. so when you look at the prices for the mountain bikes, you see that the bike at Mike's Bikes is $10 cheaper than the bike at Cycle Center. Dante should purchase his mountain bike at Mike's Bikes, because he will pay less money there. The Cycle Center does give $40 back, but Mike's Bikes has the bike that costs less. 225 < 235.
I was able to find the image associated with this question, in which the coordinates of point Z are given as (-2,-1).
We know that the coordinates of a point are multiplied by the scale factor to give the new coordinates. Since these coordinates result after the dilation, we divide them by the scale factor to obtain the original coordinates as such:
