Genesis is using her savings account to pay standard bills over 6 months without replenishing the funds. use the table to write a linear function that models her spending

month. savings account balance in $

0 1,500

2 1,200

4 900

6 600

A. f (x) = 150x+600

B. f (x) = -150+1500

C. f (x) = 1/150x+600

D. f (x) = - 1/150x+1500

B. f (x) = -150+1500

Step-by-step explanation:

Let x represents the number of months and y represents the savings account balance (in dollars)

Thus, table would be,

x 0 2 4 6

y 1,500 1,200 900 600,

Let the linear function that represents the above table is,

y = mx + c

By the table,

1500 = m (0) + c ⇒ c = 1500,

Again by the table,

1200 = m (2) + c

1200 = 2m + 1500

-300 = 2m ⇒ m = - 150

The function would be,

y = - 150x + 1500

Since, 900 = - 150 (4) + 1500

600 = - 150 (6) + 1500

The whole table satisfy the equation y = - 150x + 1500,

Hence, the linear function that models the given table is,

y = - 150x + 1500

Option 'B' is correct.