The cute kitten shelter has $486$ cute kittens at the start of monday. on each day, $\frac13$ of the kittens available at the start of the day are adopted, and no new kittens are added to the shelter. how many kittens remain at the cute kitten shelter at the end of tuesday ($2$ days later)?

216

Step-by-step explanation:

We are told that 1/3 of the available kittens are adopted at the start of the day and no new kittens are added to the shelter. This means 2/3 of the available kittens will remain at the shelter at the end of every day.

Lat us find number of kittens left at the end of Monday.

Now we will find 2/3 of 324 to find kittens left at the shelter at the end of Tuesday.

Therefore, the number of kittens left at The Cute Kitten Shelter at the end of Tuesday will be 216.

(1,4) is on graph of f(x)

f(1) = 4

so 1/4 f(x)

1/4 f(1)

1/4. ×4

1

so point for function 1/4. f(x) is (1,1)

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b