[One Hundred Points if completed.] 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

Part A: Find and interpret the slope of the function.

Part B: Write the equation of the line in point-slope, slope-intercept, and standard forms.

Part C: Write the equation of the line using function notation.

Part D: What is the balance in the bank account after 7 days?

Step-by-step explanation:

As per table given, the points are:

(0, 1500), (2, 1350), (4, 1200)

Part A

Slope is found as change in range/change in domain

m = (1350 - 1500)/(2 - 0) = - 150/2 = -75

As per the first point, we have y-intercept of 1500, when x = 0

So the function is:

g(x) = - 75x + 1500

or

y = -75x + 1500

Part B

Slope-intrcept form is given above

Point-slope form:

y - y1 = m(x-x1)

This can be found as per above formula by using a pair of coordinates of one of the points or converted from slope-intercept form:

y - 1500 = - 75(x - 0)

y - 1500 = -75x

Standard form:

Ax + By = C

Converting from the previous equation:

y + 75x = 1500

Part C

The function notation is same as slope-intercept form, where y is substituted with f(x), g(x) or any other notation:

g(x) = -75x + 1500

Part D

Balance after 5 days

x = 5, g(x) = ?

g(5) = -75*5 + 1500 = 1125

After 5 days the balance is going to be $1125

typically if you want , you would actually put questions here for us to you. but hey, that's just me. maybe someone will magically answer the questions for you without knowing what they are.

inverse property is the answer

step-by-step explanation: