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 spendingmonth. savings account balance in $0 1,5002 1,2004 9006 600A. f(x)=150x+600B. f(x) =-150+1500C. f(x)= 1/150x+600D. f(x) = -1/150x+1500​

Answer:B. f(x) =-150+1500Step-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              6y        1,500       1,200       900          600,Let the linear function that represents the above table is,y = mx + cBy the table,1500 = m(0) + c ⇒ c = 1500,Again by the table,1200 = m(2) + c 1200 = 2m + 1500-300 = 2m ⇒ m = -150The function would be,y = -150x +1500Since, 900 = -150(4) + 1500600 = -150(6) + 1500The whole table satisfy the equation y = -150x +1500,Hence, the linear function that models the given table is,y = -150x +1500Option 'B' is correct.