At higher altitudes, water boils at lower temperatures. this relationship between altitude and boiling point is linear. at an altitude of 1000 feet, water boils at 210°f. at an altitude of 3000 feet, water boils at 206°f. use an equation in point-slope form to find the boiling point of water at an altitude of 8000 feet. solve the problem using an equation in point-slope form.

Let's assume

boiling point is y

altitude is x

we are given

This relationship between altitude and boiling point is linear

At an altitude of 1000 feet, water boils at 210°F

so, first point is (1000,210)

so, x1=1000 , y1=210

At an altitude of 3000 feet, water boils at 206°F

so, second point is (3000,206)

so, x2=3000,y2=206

now, we can find slope

now, we can plug values

now, we can use point slope form of line

so, we can plug it

so, point slope form of line is

now, we can plug x=8000

and then we can solve for y

So,

the boiling point of water at an altitude of 8000 feet is 196°F..........Answer

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