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5. Suppose the stacks of cases of bottled water on the shelves of a major grocery store follow
the graph of the equation 4r + y= 36 where r is hours after the store opens and y is the
number of cases on the shelves. All of the water is sold. What is the domain of the
variable x?
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5 Suppose the stacks of cases of bottled water on the shelves of a major grocery store followthe graph of the equation 4r y 36 where r is hours after the store class=

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kudzordzifrancis

ANSWER

C [0,9]

EXPLANATION

The number of bottled water on the shelf is modeled by the function

[tex]4x + y = 36[/tex]

We make y the subject to obtain;

[tex]y = 36 - 4x[/tex]

When no water is sold, then x=0.

When all the bottles are sold, then

[tex]4x - 36 = 0[/tex]

[tex]4x = 36[/tex]

[tex]x = \frac{36}{4} = 9[/tex]

Therefore the store cannot sell more than 9 bottles.

The domain is [0,9]

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