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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.

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Hello, do you understand how to find the equation of a line?
so how will the variables fit into the equation?

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Other answers:

Okay, we need two points to find the slope of the linear equation
Our first point shall be (5, 24.25)
Can you think of another point that we can intuitively know given the question?
(x, 13.5) doesn't give the x value
Okay, we know how much revenue the company makes when they sell 0 gas, correct?
How much revenue will they make when they sell 0 gas?
wouldn't it just be 0
the equation for the slope of a line is \[m=\frac{y_1-y_2}{x_1-x_2}\]
We now have two points (0,0) and (5, 24.25)
Do you see how if we plug in these two points, we can obtain the slope m?
slope would be 4.85
We know that the equation for a line is y = mx + b
and we have the value of m
we also have the value for y and x
which are (5, 24.25)
If we plug in these values, m, x and y, then all we have to find is b
would the equation be y= 4.85x+48.5?
24.25 = (4.85)(5)+b
24.25 = 24.25+b
Do you see what b must equal?
We now have the full equation
equation will be y=4.85x+0
You got it
Now you just need to find y = 4.85(13.5)
wouldn't the 13.5 be in place of y and not x since the point is (x, 13.5)
no, the amount of gas is your x variable
the profit is your y value
so the answer would be 65.47
Thank you!!!!
You're welcome, good work!
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