A roof has a 0.2-inch layer of ice on it from a previous storm. Another ice stor

ddaeeric

ddaeeric

Answered question

2021-09-09

A roof has a 0.2-inch layer of ice on it from a previous storm. Another ice storm begins to deposit ice at a rate of 0.23 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 1.5 hours?
a) f(x)=?
b) The ice is ___ inches thick after 1.5 hours.

Answer & Explanation

avortarF

avortarF

Skilled2021-09-10Added 113 answers

Step 1
Given data:
The thickness of ice is c=0.2in.
The rate of deposition is m=0.23in/hr.
Step 2
Part (a)
The standard linear function is given by,
f(x)=mx+c
The function of thickness can be given by,
f(x)=0.23x+0.2
Here, x is the time in hour.
Thus, the linear function is f(x)=0.23x+0.2.
Step 3
Part (b)
Given that the time is x=1.5hr.
Substitute value of x in linear function as calculated in part (a),
y=0.23x+0.2
y=0.23(1.5)+0.2
y=0.545in
Thus, the thickness of ice layer is 0.545 in after 1.5 hr.

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