Zachary purchased a computer for $1,500 on a payment plan. Six months after he purchased the computer, his balance was $600. Eight months after he purchased the computer, his balance was $300. What is an equation that models the balance y after x months?
The equation models the balance y after x months

9514 1404 393

  y = 1500 -150x

Step-by-step explanation:

Apparently, we're to assume that the balance is linear function of the number of months. We are given 3 points:

  (0, 1500), (6, 600), (8, 300)

Any two of these can be used to write the equation of the line using the 2-point form:

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (600 -1500)/(6 -0)(x -0) +1500

  y = -900/6x +1500

  y = 1500 -150x . . . models the balance after x months

there is no image or shapes attacted

step-by-step explanation:

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation: