Question

relationship in context.1 skyler mows lawns in the summer. the function $f(x)$ is used to model the amount of money earne where $x$ is the number of lawns completely mowed. a reasonable domain for this function would1) real numbers2) rational numbers3) irrational numbers4) natural numbers2 which domain is most appropriate for a function that represents the number of items, $f(x)$, placed into a laundry basket each day, $x$, for the month of january?1) integers2) whole numbers3) rational numbers4) irrational numbers3 which domain would be the most appropriate set to use for a function that predicts the number of household online-devices in terms of the number of people in the household?1) integers2) whole numbers3) irrational numbers4) rational numbers4. which domain would be the most appropriate to use for a function that compares the number of emails sent ($x$) to the amount of data used for a cell phone plan ($y$)?1) integers2) whole numbers3) rational numbers4) irrational numbers

Explanation:

1. For the number of completely mowed lawns, you can only have positive whole counts (1,2,3,...), which are natural numbers.
2. The number of days in January is non-negative whole numbers (0 to 31, including 0 if no items are placed), which are whole numbers.
3. The number of people in a household is a non-negative whole count (0,1,2,...), so whole numbers are appropriate.
4. The number of emails sent is a non-negative whole count (0,1,2,...), so whole numbers are appropriate.

Answer:

1. 4) natural numbers
2. 2) whole numbers
3. 2) whole numbers
4. 2) whole numbers