An airplane travels 780 miles in 4 hours. Make a table and graph to show the mileage for 2,8, and 12 hours. Is there a direct variation? Explain.


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Answer:

Please check the explanation.

Step-by-step explanation:

As an airplane travels 780 miles in 4 hours.

We need to determine the table and graph to show the mileage for 2,8 and 12 hours.

as

The airplane covers the distance in 4 hours: 780 miles

so

The airplane covers miles in 1 hour will be: 780/4 = 195 miles

Hence, the table can be calculated as:

Hours                             Distance Mileage in Miles

[tex]2[/tex]                                       [tex]2\times195\:=\:390[/tex] miles

[tex]8[/tex]                                       [tex]8\times195 = 1560[/tex] miles

[tex]12[/tex]                                     [tex]12\times195 = 2340[/tex] miles

It is clear from the table that it is a direct variation as the constant is 195 miles per hour.

Please check the attached graph. The graph clearly indicates a direct variation.

Ver imagen absor201