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.

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)