Question

This table represents the boiling point of water at different altitudes. Which equation represents water's boiling point (y) based on the change in altitude (x)? Altitude (thousands of feet) Boiling Point of Water (Fahrenheit) (sea level) 0 212 0.5 211.1 1.0 210 2.0 208.4 2.5 207.5 3.0 206.6 4.0 204.8 4.5 203.9

Answer 1

The required equation is
`y=-1.8x+212`.

Explanation:

We are given,

The table showing the boiling points of water at different altitudes.

We will find the slope of the equation using
`m=(y_(2)-y_(1))/(x_(2)-x_(1))`.

Taking points (0,212) and (0.5,211.1) and substituting in the formula,

Slope is
`m=(211.1-212)/(0.5-0)`

i.e. Slope is
`m=(-0.9)/(0.5)`

i.e. Slope is -1.8

Substituting slope and the point (0,212) in the equation
`y=mx+b`, we will find the value of y-intercept 'b'.

That is,
`212=-1.8* 0+b` i.e. b= 212

Thus, the required equation is
`y=-1.8x+212`.