Question

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.

Answer 1

Answer:

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

Step-by-step explanation:

Given:

Number of hours for babysitting for a week = $x \ hours$

Charge for baby sitting = 5$ an hour

Money earned for babysitting in x hours = $5x$

Number of hours for cashier for a week = $y \ hours$

Charge for Cashier = $10 an hour

Money earned for Cashier in y hours = $10y$

He wants to earn at least 70$.

Hence the expression becomes.

$5x + 10y \geq 70$

Also,

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

Hence the expression becomes.

$x + y < 10 \ hours$

Inequality equation for the given statements are:

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