The table of values represents a linear function g(x), where x is the number of days that have passed and g(x) is the balance in the bank account:

x g(x)
0 $600
3 $720
6 $840

write the equation of the line in standard form.

Step-by-step explanation:

The equation of the line in Standard form is:

Where "A" is a positive integer and "B", and "C" are integers.

The equation of the line in Slope-Intercept form is:

Where "m" is the slope and "b" is the y-intercept.

Using any two points from the table, we can find the slope.

Let's pick the points (0,600) and (6,840):

By definition, the line intersects the y-axis when ; we can observe in the table that when ; therefore:

Then, substituting values into  , we get that the equation of this line in Slope-Intercept form is:

In order to write this equation in Standard form, we must:

- Subtract 600 from both sides of the equation:

- Subtract "y" from both sides:

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: