Question

Which scenario has a domain with a continuous number of values?
Scenario 1: Shaun uses y buckets of water after washing x cars during a car wash fundraiser.
Scenario 2: Heather drove x hours for a total of y miles.

Scenario 1

Scenario 2

Both

Neither

Answer 1

It's Neither

Answer 2

Domain refers to the x values.

In the first case, x refers to the number of cars which has to be a whole number such as 1, 2, 3, etc. You can't have 1.35 cars washed. So x is NOT continuous.

In the second case, x refers to the number of hours of driving the car which can be continuous. 1.5 means 90 minutes of driving. 2.3333... hours means 2 hours and 20 minutes of driving. So in the second case, the domain is continuous.

Answer 3

So i'm still a little confused !

Answer 4

Domain means what are the allowed values for x.

If x is the number of cars washed, what values are allowed? x cab be any positive INTEGER such as 5, 8, 12. Number of cars cannot be a fraction or a decimal. So x is not continuous.

If x is the number of hours. x can be 1 hr, 1/3 hour, 1.54 hour, etc. are all allowed values. We can draw a graph with miles driven along the y axis and the hours driven along the x axis and it will be a continuous curve. Therefore, the domain is continuous.

Answer 5

SO which one?

Answer 6

the second one

Answer 7

ok thanks !