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

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

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`