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

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

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

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

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

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

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

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

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

mjr632
 2 years 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
 2 years ago
Best ResponseYou've already chosen the best response.0slope would be 4.85

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

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

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

mjr632
 2 years 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
 2 years ago
Best ResponseYou've already chosen the best response.0would the equation be y= 4.85x+48.5?

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

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

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

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

flutterflies
 2 years 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
 2 years ago
Best ResponseYou've already chosen the best response.1no, the amount of gas is your x variable

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

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

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

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