simplified algerbraic expression

Question

Taylor works at a garden shop that sells flower pots. One kind of flower pot has a rim height of 6 centimeters and a planting height of 22 centimeters. Taylor begins to stack the flower pots as shown.

The table shows the height of each stack for the given number of flower pots.

Number of Flower Pots, n	1	2	3	4	5
Height of Stack in cm	28	34	40	46	52

Write a simplified algebraic expression to represent the height of a stack of n flower pots.

Answer 1

compute the slope using first two sets of data (1,28) and (2,34): (34-28)/(2-1) = 6

use point-slope form to get equation: (y-y1) = slope * (x - x1)

x = number of pots; y = height of stack

use (x1,y1) = (1,28)

slope is 6 from above

(height - 28) = 6 * (number pots - 1)

(height - 28) = 6 * number of pots - 6

height = 6 * number of pots + 22