A rocket has 360 gallons of fuel left after 2 hours of flight, and only 100 gallons after 6 hours of flight. It burns n gallons of fuel for every hour of flight, where n is a constant. What is the value of n?

The fuel remaining is the dependent variable and the number of hours in flight is the independent variable. 'n' is thus a measure of fuel consumption. Points (2, 360) and (6, 100) define the rule relating the number of gallons of fuel left after t hours:

100 - 360 gallons

n = ------------------ -------------- = -65 gallons/hour

6 - 2 hours

n is the slope of the line which shows the relationship of fuel consumed per hour. n = -65 gallons/ hour

poona2339 poona2339 · Answer 2 · 2022-07-19T15:53:06+02:00

n = -65 gallons per hour

In mathematics, the slope and gradient of the line are the number that describes both the direction or the steepness of the line.

The fuel remaining is the dependent variable or the number of hours on the flight is the independent variable. 'n' is so a measure of fuel consumption. Points (2, 360) and (6, 100) define the rule relating the number of gallons of fuel is left after t hours:

n = 100 - 360 gallons

= -65 gallons/hour

6 - 2 hours

n is the slope of the line which shows the relationship of fuel consumed per hour. n = -65 gallons/ hour

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