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

Answer:

7 days

Step-by-step 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 = $1250\times3$=  $3750$

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 $7$ $\text{days}$

Answer 2

She can be late 7 days max