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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)

Sep 28, 2020

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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)

$$A_2(6,1900)\\ A_1(10,1150)$$

$$m=\frac{y_2-y_1}{x_2-x_1}=\frac{750}{-4}\\ m=-187.5$$

$$A(p)=m(x-x_1)+y_1\\ A(p)=-187.5(p-10)+1150$$

$$A(p)=-187.5\ p+3025$$

!

Sep 29, 2020