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Devon babysits x hours a week after school for 5$ an hour, and also has a job as a cashier y hours a week for $10 an hour. He wants to earn atleast 70$. He can't work any more than 10 hours a week because of school.

Respuesta :

Answer:

The inequality expression are  [tex]5x + 10y\geq\$70 \ and \ x + y \leq 10 hours[/tex]

Step-by-step explanation:

Given:

Number of hours for babysitting for a week = [tex]x \ hours[/tex]

Charge for baby sitting = 5$ an hour

Money earned for babysitting in x hours = [tex]5x[/tex]

Number of hours for cashier for a week = [tex]y \ hours[/tex]

Charge for Cashier = $10 an hour

Money earned for Cashier in y hours = [tex]10y[/tex]

He wants to earn at least 70$.

Hence the expression becomes.

[tex]5x + 10y \geq 70 \$[/tex]

Also,

He can’t work any more than 10 hours a week

Hence the expression becomes.

[tex]x + y < 10 \ hours[/tex]

Inequality equation for the given statements are:

The inequality expression are  [tex]5x + 10y\geq\$70 \ and \ x + y \leq 10 hours[/tex]

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