sanderson offering 500$ cash back in any purchace, while bill luke is offering 1000$ cash back. the tax rate is 5% at sabderson but 8% at bill luke. be ky want to buy a car thag is 15,000 and michelle us planning to buy a car thag costs 20,000. which dealership offers becky the best deal and why? which dealership offers michelle the best deal and why?

Becky is buying car worth 15,000

At Sanderson, the net cost of buying the car with a tax of 5% and a cash back of $500 will be = 15,000*1.05 - 500 = 15,250

At Bill luke, the net cost of buying the car with a tax of 8% and a cash back of $1000 will be = 15,000*1.08 - 1000 = 15,200

So, Bill luke dealership offers Becky the best deal since the net price is $50 lower than that at Sanderson dealership

Michelle wants to buy a car worth 20,000

At Sanderson, the net cost of buying the car with a tax of 5% and a cash back of $500 will be = 20,000*1.05-500 = 20,500

At Bill luke, the net cost of buying the car with a tax of 8% and a cash back of $1000 will be = 20,000*1.08-1000 = 20,600

So, Sanderson dealership offers Michelle the best deal since the net price is $100 lower than that at Bill luke dealership