P=47.4(G−174.5) The profit, P, in dollars, to an amusement park serving G guests over one day is given by the equation. What is the minimum number of guests that need to be served in order to make a positive profit?
Q. P=47.4(G−174.5) The profit, P, in dollars, to an amusement park serving G guests over one day is given by the equation. What is the minimum number of guests that need to be served in order to make a positive profit?
Set Profit Greater Than Zero: To find the minimum number of guests needed to make a positive profit, we need to set the profit, P, greater than zero and solve for G.P > 047.4(G - 174.5) > 0
Find Value of G: Since we want to find the minimum number of guests for a positive profit, we need to find the value of G that makes the expression equal to zero and then determine the next whole number since we can't have a fraction of a guest.47.4(G−174.5)=0
Solve for G: Now we solve for G by dividing both sides of the equation by 47.4. (G−174.5)=0/47.4G−174.5=0
Isolate G: Next, we add 174.5 to both sides of the equation to isolate G. G=174.5
Round Up to Next Whole Number: Since we can't have a fraction of a guest and we need more than 174.5 guests to make a profit, we round up to the next whole number.G=175
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