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 dollars
0 1,500
2 1,200
4 900
6 600
f(x) = 150x + 600
f(x) = −150x + 1,500
f of x equals one over 150 times x plus 600
f of x equals negative one over 150 times x plus 1,500

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 dollars
0	1,500
2	1,200
4	900
6	600
 f(x) = 150x + 600
 f(x) = −150x + 1,500
 f of x equals one over 150 times x plus 600
 f of x equals negative one over 150 times x plus 1,500

Mercury · Answer

the savings are decreasing over time, which means our slope will be negative. that automatically narrows us down to choices 2 and 4

to determine whether our slope is -150, or -1/150, we'll need to calculate the slope from the table

since the function is linear, we can take any two points from the table
ex:
0	1,500
2	1,200

which would translate to (0,1500) and (2,1200) as points. apply the slope formula.