contestada

You are trying to use lesswater on laundry this month than you used on laundrylast month. The amount of water w (in gallons)you save after x loads of laundry is given byw(x) = 160 - 20x. How many loads of laundry didhis month if you saved 40 gallons of water?

Respuesta :

Given:

[tex]w\left(x\right)=160-20x[/tex]

Where:

w (x) = amount of water you save

x = loads of laundry

Knowing that you saved 40 gallons, then w (x) = 40.

Let's substitute w(x) by 40 and find x.

[tex]40=160-20x[/tex]

Subtracting 160 from both sides of the equation:

[tex]\begin{gathered} 40-160=160-20x-160 \\ -120=160-160-20x \\ -120=0-20x \\ -120=-20x \end{gathered}[/tex]

Dividing both sides by -20:

[tex]\begin{gathered} \frac{-120}{-20}=\frac{-20x}{-20} \\ 6=x \\ x=6 \end{gathered}[/tex]

Answer: 6 loads of laundry.

Otras preguntas