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The temperature of a pot of water placed on a hot burner can be found using the function f(x) = 25x + 60, where x is the number of minutes since the pot was placed on the burner. If the pot of water is on the burner for no more than 3 minutes, what is the domain of the function for this situation?

User Endery
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1 Answer

4 votes

Answer:


0 \leq x \leq 3

Explanation:

Given


f(x) = 25x + 60

Required

Determine the domain

The domain, in this case means the possible values of x

From the question, we understand that x represents minutes

Since it's impossible to have a negative minutes, then x starts at 0

i.e.
x \geq 0 or
0 \leq x

Also, from the question, we understand that the time can not be more than 3 minutes

i.e.


x \leq 3

Now, we have two inequalities:


0 \leq x and
x \leq 3

Which can be written as:


0 \leq x \leq 3

Hence, the domain is:
0 \leq x \leq 3

User Maor Barazany
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