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Emilio owns a bakery. The number of boxes of cookies he has left on a Monday is represented by the function [tex]\( x + y = 42 \)[/tex], where [tex]\( y \)[/tex] is the number of boxes of cookies remaining in the bakery and [tex]\( x \)[/tex] is the number of hours since he opened the bakery. How many boxes did he have at the start of business on Monday?

(Note: [tex]\( x \geq 0 \)[/tex], [tex]\( y \geq 0 \)[/tex], and [tex]\( y \)[/tex] takes only integer values.)

A. 46
B. 40
C. 42
D. 38

Sagot :

GinnyAnswer
To determine how many boxes of cookies Emilio had at the start of business on Monday, we need to evaluate the function given. The function provided is [tex]\( x + y = 42 \)[/tex].

In this function:
- [tex]\( x \)[/tex] represents the number of hours since he opened the bakery.
- [tex]\( y \)[/tex] represents the number of boxes of cookies remaining in the bakery.

We need to find out the initial number of boxes, which corresponds to when Emilio just opens the bakery. At that moment, the number of hours since opening, [tex]\( x \)[/tex], is 0 (because the bakery has just opened).

To find [tex]\( y \)[/tex] when [tex]\( x = 0 \)[/tex]:
[tex]\[ x + y = 42 \][/tex]

Substitute [tex]\( x = 0 \)[/tex] into the equation:
[tex]\[ 0 + y = 42 \][/tex]

Simplify the equation:
[tex]\[ y = 42 \][/tex]

Thus, at the start of business on Monday, Emilio had [tex]\( 42 \)[/tex] boxes of cookies.

So, the correct answer is:
C. 42
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