Texas is on average 1700 feet above sea level. This level varies by as much as 7049 feet depending on precipitation and your location. Write and solve an equation describing the maximum and minimum sea levels for Texas

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Answer:

Minimum sea level: [tex]-5349[/tex] feet.

Maximum sea level: [tex]8749[/tex] feet.

Step-by-step explanation:

We have been given that Texas is on average 1700 feet above sea level. This level varies by as much as 7049 feet depending on precipitation and your location.

[tex]|\text{Actual-Ideal}|=\text{Tolerance}[/tex]

[tex]|x-1700|=7049[/tex]

Using absolute value definition [tex]|u|=a[/tex], then [tex]u=-a\text{ or }u=a[/tex], we will get:

[tex]x-1700=-7049[/tex] or [tex]x-1700=7049[/tex]

[tex]x-1700+1700=-7049+1700[/tex] or [tex]x-1700+1700=7049+1700[/tex]

[tex]x=-5349[/tex] or [tex]x=8749[/tex]

Therefore, the minimum sea level is [tex]-5349[/tex] feet and maximum sea level is [tex]8749[/tex] feet.