Q:

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.

Accepted Solution

A:
Answer:Yes, there is a direct variation, where the constant is 195 miles\hrStep-by-step explanation:Consider the provided information.An airplane travels 780 miles in 4 hours.780 miles = 4 hoursDivide both the sides by 4.780/4 miles = 4/4 hours195 miles = 1 hourswe need to make a table and graph to show the mileage for 2,8 and 12 hours.The required table is shown below:hr        Mileage (Miles)2         2×195 = 390 miles8         8×195 = 1560 miles12       12×195 = 2340 milesFrom the table we can observe that there is a direct variation, where the constant is 195 miles\hrThe graph of the table is shown below.The graph is a line passing through the origin.