How many lemon shakeups would they need to sell to earn $1,000

I think a good way to go about this problem is to construct a line for which we can find where l = 1000 and the profit (p) associated with it. To find the equation of our line, we are going to use the point-slope formula, which is listed as follows:

We know we have the point (250, 50), so we have part of the equation now. The slope of this line would be

Now, "plugging in" our information into the point-slope formula, we get the equation:

We are going to change to since is the independent variable in the problem and we are going to change to since is the dependent variable in this problem. Our equation is now

Now, we are trying to solve for when , or the amount of lemon-shake ups they would need to sell $1000. Thus, let's substitute into our equation and solve for :

Technically, they would need to sell 1700/3 lemon-shake ups to earn $1,000. However, if they are not able to sell part of a lemon-shake up, then we would need to round to the nearest whole number, which would be 567 lemon-shake ups.

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step-by-step explanation: