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 $325
5 $400
10 $475

Part A: Find and interpret the slope of the function. (3 points)

Part B: Write the equation of the line in point-slope, slope-intercept, and standard forms. (3 points)

Part C: Write the equation of the line using function notation. (2 points)

Part D: What is the balance in the bank account after 12 days? (2 points)

Part A- 15

Part B- y- 720 = 40x(x -3) and g(x) = 40x + 600 and 40x-y + 600 = 0

Part C

All we do is replace y with g(x) in the slope-intercept form.

So y = 15x+325 turns into g(x) = 15x+325

Normally I would use f(x), but the table shows g(x) so I'll go with that instead.

Part D

Plug x = 12 into the function found in part C.

g(x) = 15x+325g(12) = 15(12)+325g(12) = 180+325g(12) = 505

The balance after 12 days is 505 dollars.

for finding the midpoint of any given 2 pair of points simply add the respective x coordinates with other x coordinate and the y coordinate with other y coordinate and divide them by 2

in your question it will be :

(3+1)/2 for the x coordinate of mid point i.e 2

[8+(-4)]/2 for the y coordinate of midpoint i.e 2

so coordinates of mid point of points (3,8) and (1,-4) will be (2,2)

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