Write an equation in slope intercept form for
the given slope.
(5,,8)

The equation in slope intercept form for (5,9) and (6,8) is y = 3x-10

Solution:

Given that (5,9) and (6,8)

Here,

We know the slope of an equation is given by y = mx+c

To find the value of m, we use the below given formula

Substituting the values we get,

m = 3

Putting the value of m in the slope intercept form we get,

y = 3x+c

To find the value of c, we substitute the value of x and y from any two given point. Let’s take x = 5 and y = 5

5 = 3(5) + c

5 = 15 +c

5-15 = c

c = -10

Therefore the slope intercept equation becomes y = 3x -10

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50

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: