taylor buys nail polish from a shop that cost $3.95 each. she has a maximum of $30 to spend on nail polish purchases. the total cost, with respect to polishes purchased, can be modeled by a function. which statement correctly defines the domain of the function?

the domain is the set of all whole numbers greater than or equal to 0 and less than or equal to 8.
the domain is the set of all whole numbers greater than or equal to 0 and less than or equal to 27.65.
the domain is the set of all whole numbers greater than or equal to 0 and less than or equal to 7.
the domain is the set of all whole numbers greater than or equal to 0 and less than or equal to 30.

The domain is the set of all whole numbers greater than or equal to 0 and less than or equal to 7.

Step-by-step explanation:

let x be the number of nail polishes that Taylor purchases .

Therefore  the amount spent by Taylor on nail polishes will be f(x) = 3.95\times x

since Taylor has only 30 dollars to spend on nail polishes.

f(x) \leq  30 dollars

therefore 3.95\times x \leq 30

x \leq 7.594

since x is an whole number x = 7

Therefore the domain is the set of all whole numbers greater than or equal to 0 and less than or equal to 7.

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above

d is the correct answer

step-by-step explanation:

x= 8 because 3x = 3 * 8, and 3*8 = 24