Question

Ms. Ache is paid $1250 per week but it's fined $100 each day she is late to work Ms.A che wants to make at least $3,000 over the next three weeks so she can take a vacation. over the next three weeks, what is the maximum number of days she can be late to work and still reach her goal of making at least $3000?

Answer 1

She can be late 7 days max

Answer 2

7 days

Explanation:

Given: Ms. Ache is paid $1250 per week but it's fined $100 each day she is late to work.

To Find: maximum number of days she can be late to work and still reach her goal of making at least $3000?

Solution:

per week payment of Ms. Ache =
`\$`
`1250`

Fine for getting late a day =
`\$`
`100`

let number of days Ms. Ache gets late =
`\text{x}`

Amount Ms. Ache wants to make in three weeks =
`\$`
`3000`

maximum earning potential of Ms. Ache in 3 weeks =
`1250*3`=
`\$`
`3750`

Net earning = maximum earning potential of Ms. Ache in 3 weeks - total fine

=
`\$ 3750 - 100\text{x}`

To reach a goal of
`\$`
`3000`

`\$ 3750 - 100\text{x}` ≥
`3000`

`100\text{x}`≤
`750`

`\text{x}\leq 7`

Maximum number of days she can be late to work and still reach her goal of making at least $3000 is
`7`
`\text{days}`