A roof has a 0.3-inch layer of ice on it from a previous storm. Another ice storm begins to deposit ice at a rate of 0.26 inches per hour.

Question

(a) Find a formula for a linear function F that models the thickness of the ice on the roof x hours after the second ice storm started

 

(b) how thick is the ice after 3.5 hours?

 

F(x) =

Answer 1

Hi Keith;

f(x)=(0.26 inches/hour)x+0.3 inches

x is quantity of hours

f(x) is in units of inches

f(x)=(0.26)x+0.3

 

f(3.5)=[(0.26)(3.5)]+0.3

f(3.5)=1.21

After 3.5 hours, the roof will have 1.21 inches of ice upon it.