Kevin is buying water for his camping trip. He knows he needs at least 20 gallons of water for the trip. He already has five and a half gallons. The water comes in 32-fluid ounce (quarter-gallon) containers. What algebraic inequality represents this situation?

Respuesta :

Answer:

[tex]5.5+0.25x\geq 20[/tex]

Step-by-step explanation:

Kevin already has five and a half gallons of water for the trip

He knows he needs at least 20 gallons of water for the trip.

The water comes in 32-fluid ounce (quarter-gallon) containers.

1 fluid ounce =0.0078125 gallons

32-fluid ounce [tex]=32 \times 0.0078125 =0.25[/tex]

Let x be the number 32-fluid ounce (quarter-gallon) containers required  to have at least 20 gallons of water for the trip.

1 container contains 0.25 gallons of water

So, x container contains 0.25x gallons of water

So, Kelvin has total gallons of water =[tex]5.5+0.25x[/tex]

Since we are given that He knows he needs at least 20 gallons of water for the trip.

So, [tex]5.5+0.25x\geq 20[/tex]

Hence the algebraic inequality represents this situation is [tex]5.5+0.25x\geq 20[/tex]

Answer: One-fourth x + 5 and one-half greater-than-or-equal-to 20

Step-by-step explanation: