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 one year ago
PLEASE HELP! At a corner gas station, the revenue R varies directly with the number g of gallons of gasoline sold. If the revenue is $24.25 when the number of gallons sold is 5, find a linear equation that relates revenue R to the number of g of gallons of gasoline. then find the revenue R when the number of gallons of gasoline sold is 13.5.
 one year ago
PLEASE HELP! At a corner gas station, the revenue R varies directly with the number g of gallons of gasoline sold. If the revenue is $24.25 when the number of gallons sold is 5, find a linear equation that relates revenue R to the number of g of gallons of gasoline. then find the revenue R when the number of gallons of gasoline sold is 13.5.

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mjr632
 one year ago
Best ResponseYou've already chosen the best response.1Hello, do you understand how to find the equation of a line?

flutterflies
 one year ago
Best ResponseYou've already chosen the best response.0so how will the variables fit into the equation?

mjr632
 one year ago
Best ResponseYou've already chosen the best response.1Okay, we need two points to find the slope of the linear equation

mjr632
 one year ago
Best ResponseYou've already chosen the best response.1Our first point shall be (5, 24.25)

mjr632
 one year ago
Best ResponseYou've already chosen the best response.1Can you think of another point that we can intuitively know given the question?

flutterflies
 one year ago
Best ResponseYou've already chosen the best response.0(x, 13.5) doesn't give the x value

mjr632
 one year ago
Best ResponseYou've already chosen the best response.1Okay, we know how much revenue the company makes when they sell 0 gas, correct?

mjr632
 one year ago
Best ResponseYou've already chosen the best response.1How much revenue will they make when they sell 0 gas?

flutterflies
 one year ago
Best ResponseYou've already chosen the best response.0wouldn't it just be 0

mjr632
 one year ago
Best ResponseYou've already chosen the best response.1the equation for the slope of a line is \[m=\frac{y_1y_2}{x_1x_2}\]

mjr632
 one year ago
Best ResponseYou've already chosen the best response.1We now have two points (0,0) and (5, 24.25)

mjr632
 one year ago
Best ResponseYou've already chosen the best response.1Do you see how if we plug in these two points, we can obtain the slope m?

flutterflies
 one year ago
Best ResponseYou've already chosen the best response.0slope would be 4.85

mjr632
 one year ago
Best ResponseYou've already chosen the best response.1We know that the equation for a line is y = mx + b

mjr632
 one year ago
Best ResponseYou've already chosen the best response.1and we have the value of m

mjr632
 one year ago
Best ResponseYou've already chosen the best response.1we also have the value for y and x

mjr632
 one year ago
Best ResponseYou've already chosen the best response.1If we plug in these values, m, x and y, then all we have to find is b

flutterflies
 one year ago
Best ResponseYou've already chosen the best response.0would the equation be y= 4.85x+48.5?

mjr632
 one year ago
Best ResponseYou've already chosen the best response.1Do you see what b must equal?

mjr632
 one year ago
Best ResponseYou've already chosen the best response.1We now have the full equation

flutterflies
 one year ago
Best ResponseYou've already chosen the best response.0equation will be y=4.85x+0

mjr632
 one year ago
Best ResponseYou've already chosen the best response.1Now you just need to find y = 4.85(13.5)

flutterflies
 one year ago
Best ResponseYou've already chosen the best response.0wouldn't the 13.5 be in place of y and not x since the point is (x, 13.5)

mjr632
 one year ago
Best ResponseYou've already chosen the best response.1no, the amount of gas is your x variable

mjr632
 one year ago
Best ResponseYou've already chosen the best response.1the profit is your y value

flutterflies
 one year ago
Best ResponseYou've already chosen the best response.0so the answer would be 65.47

mjr632
 one year ago
Best ResponseYou've already chosen the best response.1You're welcome, good work!

mjr632
 one year ago
Best ResponseYou've already chosen the best response.1Did you need any help with any other questions?
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