Which function describes the arithmetic sequence shown?
1, −2, −5, −8, −11,
a) ƒ(x) = 3x + 4
b) ƒ(x) = 3x − 4
c) ƒ(x) = −3x + 4
d) ƒ(x) = −3x − 4

C) ƒ(x) = −3x + 4

Step-by-step explanation:

The arithmetic sequence has a general form:

f = a + d(x-1)

Where: a is the first term and d is the common difference

For the given arithmetic sequence :

1, −2, −5, −8, −11, ...

a = 1

d = -2 - 1 = -3

So, f(x) = 1 + (-3)(x-1)

∴ f(x) = 1 -3x + 3

∴ f(x) = -3x + 4

The answer is option C) ƒ(x) = −3x + 4

the final amount you will pay is $68.04.

the tip is determined by the pre-tax amount, so we calculate the tip based on the original bill, not after we've added sales tax.

to find the tip:

we can divide 54.00 by 100 to get 1% of 54. then we multiply that by 18.

54 / 100 = .54

.54 x 18 = 9.72

tip = 9.72$

to find the tax:

we can divide 54.00 by 100 to get 1% of 54. then we can multiply that by 8 to get 8%.

54 / 100 = .54

.54 x 8 = 4.32

tax= 4.32

now we can add the tip and tax to the bill to get our total.

54 + 9.72 + 4.32 = 68.04

total: $68.04

step-by-step explanation: