Question

The table gives the boiling point of water at different altitudes.

Answer 1

We will use the points (2 , 208.4) and (1 , 210.2) to find the slope of the line.

m = (210.2 - 208.4) / (1 - 2)
m = -1.8

The boiling point of water decreases by 1.8 °F for every 1000-foot increase in altitude.

Answer 2

Answer:

1.8

Step-by-step explanation:

Altitude (1,000 feet)      Boiling Point of Water (°F)

0                                          212.0

0.5                                       211.1

1.0                                       210.2

2.0                                       208.4

2.5                                       207.5

3.0                                       206.6

4.0                                       204.8

4.5                                       203.9

Formula of slope m = $\frac{y_2-y_1}{x_2-x_1}$

$(x_1,y_1)=(0,212)$

$(x_2,y_2)=(0.5,211.1)$

Substituting the values in the formula

$m=\frac{211.1-212}{0.5-0}$

$m=\frac{-0.9}{0.5}$

$m= -1.8$

Hence  the linear equation that represents the change in water’s boiling point for every 1,000-foot change in altitude has a slope of 1.8 units.