Question

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.

PLS HELP ME ON THIS QUESTION!!

Answer 1

Please check the explanation.

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

`2`
`2*195\:=\:390` miles

`8`
`8*195 = 1560` miles

`12`
`12*195 = 2340` 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.