Question

Adrian works is New York City and makes 42 dollars per hour. She works in an office and must get her suit dry cleaned everyday for 75 dollars. If she wants to make more than 260 dollars a day, at least how many hours must she work? Please write a inequality to this and solve it id appreciate it if you explain it tooI NEED IT ASAP

Answer 1

Data:

Earns per hour: H

Suit dry:S

Earns per day: D

hours: t

H=42

S=75

D=260

t=?

As she needs to earn in a day an amount greather than $260, the substraction of the suit dry to the earns per day must be greather than $620.

To know the earns in an specific number of hours you multiply the H by t: $42t

Then, you get the next inequality:

`260<42t-75`

It means that 260 is less than the earns in t hours less the cost of suit dry cleaned.

To solve, you proceed as an equation:

1. Add in both sides of the inequality 75:

`\begin{gathered} 260+75<42t-75+75 \\ 335<42t \end{gathered}`

2. You divide both sides of the inequality into 42:

[tex]\begin{gathered} \frac{335}{42}<\frac{42}{42}t \\ 7.976Then, Adrian must work more than 7.976 or aprroxim. 8 hours to make more than $260a day.