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2A.3E 2
Jackie has two summer jobs. She works as a tutor, which pays $12 per hour, and she works as a
lifeguard, which pays $9.50 per hour. She can work no more than 20 hours per week, but she wants
to earn at least $220 per week. Which of the following systems of inequalities represents this
situation in terms of x and y, where x is the number of hours she tutors and y is the number of hours
she works as a lifeguard?
A) 12x + 9.5y < 220
x + y = 20
B) 12x + 9.5y = 220
x + y = 20
C) 12x + 9.5y > 220
x + y = 20
D) 12x + 9.5y > 220
x + y 20

Respuesta :

frika

Answer:

[tex]\left\{\begin{array}{l}12x+9.50y\ge 220\\ \\x+y\le 20\end{array}\right.[/tex]

Step-by-step explanation:

Let x be the number of hours Jackie tutors and y is the number of hours she works as a lifeguard.

She can work no more than 20 hours per week, thus

[tex]x+y\le 20[/tex]

Jackie works as a tutor, which pays $12 per hour, then she earns $12x in x hours.

She works as a lifeguard, which pays $9.50 per hour, then she earns $9.50y in y hours.

Jackie wants to earn at least $220 per week, so

[tex]12x+9.50y\ge 220[/tex]

So, you get the system of two inequalities:

[tex]\left\{\begin{array}{l}12x+9.50y\ge 220\\ \\x+y\le 20\end{array}\right.[/tex]