Question 12
(02.03, 02.04 HC)

An ice cube is freezing in such a way that the side length s, in inches, is s of t equals one half times t plus 2 comma where t is in hours. The surface area of the ice cube is the function A(s) = 6s2.

Part A: Write an equation that gives the volume at t hours after freezing begins.

Part B: Find the surface area as a function of time, using composition, and determine its range.

Part C: After how many hours will the surface area equal 216 square inches? Show all necessary calculations.

where is the figure

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

you can't solve x because it is 2 linear equation and you only have one equation