A roof has a 0.4-inch layer of ice on it from a previous storm. Another ice stor

emancipezN

emancipezN

Answered question

2021-09-22

A roof has a 0.4-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.
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?
a) f(x)=___
b) The ice is ___ inches thick after 3.5 hours.

Answer & Explanation

Alix Ortiz

Alix Ortiz

Skilled2021-09-23Added 109 answers

Step 1
Given data:
A roof has a 4 inch layer of ice on it
Another ice storm begins to deposite ice at a rate of 26 inches per hour.
Step 2
Part (a)
To 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.
Here F(x)=.4+.26x
Part (b)
How thick is the ice after 3.5 hours.
F(x)=.4+.26x
Here x=3.5 hours
F(3.5)=.4+(26×3.5)
=.4+.91
=1.31
The ice is 1.31 inches thick after 3.5 hours.

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