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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
 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
 one year ago

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mjr632Best ResponseYou've already chosen the best response.1
Hello, do you understand how to find the equation of a line?
 one year ago

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

mjr632Best ResponseYou've already chosen the best response.1
Okay, we need two points to find the slope of the linear equation
 one year ago

mjr632Best ResponseYou've already chosen the best response.1
Our first point shall be (5, 24.25)
 one year ago

mjr632Best ResponseYou've already chosen the best response.1
Can you think of another point that we can intuitively know given the question?
 one year ago

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

mjr632Best ResponseYou've already chosen the best response.1
Okay, we know how much revenue the company makes when they sell 0 gas, correct?
 one year ago

mjr632Best ResponseYou've already chosen the best response.1
How much revenue will they make when they sell 0 gas?
 one year ago

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

mjr632Best ResponseYou've already chosen the best response.1
the equation for the slope of a line is \[m=\frac{y_1y_2}{x_1x_2}\]
 one year ago

mjr632Best ResponseYou've already chosen the best response.1
We now have two points (0,0) and (5, 24.25)
 one year ago

mjr632Best ResponseYou've already chosen the best response.1
Do you see how if we plug in these two points, we can obtain the slope m?
 one year ago

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

mjr632Best ResponseYou've already chosen the best response.1
We know that the equation for a line is y = mx + b
 one year ago

mjr632Best ResponseYou've already chosen the best response.1
and we have the value of m
 one year ago

mjr632Best ResponseYou've already chosen the best response.1
we also have the value for y and x
 one year ago

mjr632Best ResponseYou've already chosen the best response.1
If we plug in these values, m, x and y, then all we have to find is b
 one year ago

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

mjr632Best ResponseYou've already chosen the best response.1
Do you see what b must equal?
 one year ago

mjr632Best ResponseYou've already chosen the best response.1
We now have the full equation
 one year ago

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

mjr632Best ResponseYou've already chosen the best response.1
Now you just need to find y = 4.85(13.5)
 one year ago

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

mjr632Best ResponseYou've already chosen the best response.1
no, the amount of gas is your x variable
 one year ago

mjr632Best ResponseYou've already chosen the best response.1
the profit is your y value
 one year ago

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

mjr632Best ResponseYou've already chosen the best response.1
You're welcome, good work!
 one year ago

mjr632Best ResponseYou've already chosen the best response.1
Did you need any help with any other questions?
 one year ago
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