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anonymous
 3 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.
anonymous
 3 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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anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Hello, do you understand how to find the equation of a line?

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

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Okay, we need two points to find the slope of the linear equation

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Our first point shall be (5, 24.25)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Can you think of another point that we can intuitively know given the question?

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

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Okay, we know how much revenue the company makes when they sell 0 gas, correct?

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

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

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0the equation for the slope of a line is \[m=\frac{y_1y_2}{x_1x_2}\]

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

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Do you see how if we plug in these two points, we can obtain the slope m?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0We know that the equation for a line is y = mx + b

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0and we have the value of m

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0we also have the value for y and x

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0If we plug in these values, m, x and y, then all we have to find is b

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

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Do you see what b must equal?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0We now have the full equation

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

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Now you just need to find y = 4.85(13.5)

anonymous
 3 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)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0no, the amount of gas is your x variable

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0the profit is your y value

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

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0You're welcome, good work!

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Did you need any help with any other questions?
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