Question

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​

Answer 1

Answer:

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.

Answer 2

To answer your question its B. f(x)=-150+1500