A local water park found that if the price of admission was $10, the attendance was about 1150 customers per day. When the price of admission was dropped to $6,attendance increased to about 1900 per day. Write a linear equation for the attendance in terms of the price,p. (A = mp+b)
+15001 A local water park found that if the price of admission was
\(10, the\ attendance\ was\ About\ 1150\ customers\ per\ day.\)
\( When\ the\ Price\ of\ Admission\ was\ dropped\ to \)
6,attendance increased to about 1900 per day.
Write a linear equation for the attendance in terms of the price,p. (A = mp+b)
\(A_2(6,1900)\\ A_1(10,1150)\)
\(m=\frac{y_2-y_1}{x_2-x_1}=\frac{750}{-4}\\ m=-187.5\)
\(A(p)=m(x-x_1)+y_1\\ A(p)=-187.5(p-10)+1150\)
\(A(p)=-187.5\ p+3025\)
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