Question

Can someone help me with math?

Come up with and describe two scenarios: one that models a direct variation situation and one that models an inverse variation situation. Do not state explicitly which scenario is which, but provide at least four data pairs for each situation. Your classmates will have to determine which of the scenarios is a direct variation and which is an inverse variation, and the value of k  for each.

Answer 1

Direct

The amount of items you buy at a 1dollar store and the bill

More items—-> more dollars to pay

Time and toms savings if his mother gives him every day a dollar to put in his saving’s can.

More days—->more dollars

Costumers of a restaurant and times it’s tv commercial it’s on air

More views —> more costumers

Inverse

Money Bob spends during a month and amount of money in his bank account

More spending—-> less money

Time and days left to finish school

One day passes—-> one day left less

Miles of journey and gas left in the car

One more mile traveled—-> more gas spent—> les gas in the car

Answer 2

An example of a direct variation scenario is the increase in the income of a start-up bakeshop when the number of cakes sold increase. Example data are (4, $ 100), (5, $ 125), (6, $ 150), and (7, $ 175).

The example of indirect variation scenario is the decrease in time it takes to reach a destination when the speed of the mobile increases. This is shown in the data points: (10 kph, 10 mins), (12 kph, 8 mins), (14 kph, 6 mins), and (16 kph, 4 mins).