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

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

Answer :

scme1702
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:

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 = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex](x_1,y_1)=(0,212)[/tex]

[tex](x_2,y_2)=(0.5,211.1)[/tex]

Substituting the values in the formula

[tex]m=\frac{211.1-212}{0.5-0}[/tex]

[tex]m=\frac{-0.9}{0.5}[/tex]

[tex]m= -1.8[/tex]

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.

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