Problems of the Week

Problems of the Week: Due Friday, November 14th by noon EST

1. Maclean purchased a new oven. The cost of the oven was $10,258, and she made a down payment of $820. If Maclean pays the same amount each month for 12 months, how much will her monthly payment be? It is a really nice oven...

2. If 4x – 2 = 5x – 3, what is the value of x? Yes, the x values must match.

3. The Merwin family rented a truck for a $52.95 fee plus $0.35/mi. They spent $33.75 to fill the tank with gasoline before returning the truck. If the Merwin family spent $140.95, including gasoline, to rent the truck, how many miles was the truck driven? I don't know why she needed the truck, but maybe she wanted a safe place to carry her guitar.

4. At 10:00am, Mr. Little leaves his house in a car at a rate of 60 mi/h. At the same time, Mrs. Little, driving in another car, leaves the same house at a rate of 50 mi/h in the opposite direction. At what time will the cars be 330 miles apart? Don't worry, we will turn around and drive back home once you finish answering the question.

5. If a▲b = a^b + b for all non-negative numbers, what is the value of 4▲3?

6. At Chipotle, a burrito with extra guacamole costs $7.75. Three burritos with two extra guacamole costs $21.60. What is the price of each burrito and each extra guacamole?