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Sagot :
To solve the question of how many customers Lisa would need to serve if Daisy calls in sick, we'll work through the given equation step-by-step.
The equation given is:
[tex]\[ 18x + 12y = 216 \][/tex]
Here:
- [tex]\( x \)[/tex] represents the number of customers served by Lisa.
- [tex]\( y \)[/tex] represents the number of customers served by Daisy.
- The salon's projected total income for the day is $216.
Given that Daisy is sick on this particular day and thus will not serve any customers, we can set [tex]\( y \)[/tex] to 0 in the equation. This simplifies our equation to:
[tex]\[ 18x + 12(0) = 216 \][/tex]
which reduces to:
[tex]\[ 18x = 216 \][/tex]
Next, to find the value of [tex]\( x \)[/tex], we divide both sides of the equation by 18:
[tex]\[ x = \frac{216}{18} \][/tex]
[tex]\[ x = 12 \][/tex]
Therefore, the correct answer is that Lisa would need to serve 12 customers to reach the projected income, given that Daisy is not working that day.
Thus, the correct answer is:
B. 12
The equation given is:
[tex]\[ 18x + 12y = 216 \][/tex]
Here:
- [tex]\( x \)[/tex] represents the number of customers served by Lisa.
- [tex]\( y \)[/tex] represents the number of customers served by Daisy.
- The salon's projected total income for the day is $216.
Given that Daisy is sick on this particular day and thus will not serve any customers, we can set [tex]\( y \)[/tex] to 0 in the equation. This simplifies our equation to:
[tex]\[ 18x + 12(0) = 216 \][/tex]
which reduces to:
[tex]\[ 18x = 216 \][/tex]
Next, to find the value of [tex]\( x \)[/tex], we divide both sides of the equation by 18:
[tex]\[ x = \frac{216}{18} \][/tex]
[tex]\[ x = 12 \][/tex]
Therefore, the correct answer is that Lisa would need to serve 12 customers to reach the projected income, given that Daisy is not working that day.
Thus, the correct answer is:
B. 12
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