a local zoo found that if the price of admission was $15$⁢15, the attendance was about 15501550 customers per day. when the price of admission was dropped to $9$⁢9, attendance increased to about 29002900 per day. write a linear equation for the attendance in terms of the price, p. ( a

Respuesta :

Linear equation of attendance in terms of the price is A = -225p + 4925

What is linear equation?

An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant. A linear equation with two variables has the conventional form Ax + By = C. Here, the variables x and y, the coefficients A and B, and the constant C are all present.

Attendance as a function of ticket price.

A(p) = mp + b

We have two points (p, A):  (15, 1550), (9, 2900)

Slope:  m = (2900-1550)/(9-15) = 1350/-6 = -225

A = -225p + b

Using (15, 1550) as (p, A) find b

1550 = -225(15) + b

1550 = -3375 + b

4925 = b

A = -225p + 4925

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