Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in gallons) in its tank. When carrying 10 gallons of fuel, the airplane weighs 2155 pounds. When carrying 42 gallons of fuel, it weighs 2331 pounds. How much does the airplane weigh if it is carrying 48 gallons of fuel?

Question

anonymous · Answer

this is how you solve the problem...I think

anonymous · Answer

you first want to find the slope

anonymous · Answer

|dw:1316397863607:dw|

anonymous · Answer

so y2 is 2331, y1 is 2155

x2 is 42 and x1 is 10

anonymous · Answer

when you plug the values in you will get 176/32 which is 5.5

anonymous · Answer

so your slope is 5.5 which means thats the weight that is gained for each gallon of gas

anonymous · Answer

at 42 gallons we know it weighs 2331 pounds but we need the weight at 48 gallons. what you do is 48-42= 6 which is the difference in the amount of fuel. then you multiply that by 5.5 which is the increase in weight each time

anonymous · Answer

6x5.5 is 33

anonymous · Answer

2331+ 33= 2364 pounds

anonymous · Answer

i think thats the answer

anonymous · Answer

did this help?