Question

Finding the initial amount and rate of change given a table for a linear function

Answer 1

(a) $820

(b) Option 1, $130

Step-by-step explanation: (Solve B first)

Month = M

(b) Every 2 months the amount of $ in her bank account decreases by $130.

M6 to M8 = 460 - 330 = 130

M8 to M10 = 330 - 200 = 130

M10 to M12 = 200 - 70 = 130

Every 2 months, $130 is taken

(a) Before the 6th M, there is A amount of money

A:

M0 to M2 = 1 x $130

M2 to M4 = 1 x $130

M4 to M6 = 1 x $130

So, A = (1 + 1 + 1) x $130

= 3 x $130
= $390

At the start of the year, she had B amount of money

B:

$360 + $460 = $820