Suppose a certain outlet chain selling appliances has found that for one brand of stereo system, the monthly demand is 350 when the price is $700. However, when the price is $640, the monthly demand is 450. Assuming that the demand function for this system is linear, write the equation for the demand function. Use p for price and q for quantity.

Respuesta :

Answer:

Demand function:

[tex]p =-0.6q +910[/tex]

Step-by-step explanation:

We are given the following in the question:

The monthly demand of stereo system is 350 when the price is $700. When the price is $640, the monthly demand is 450.

We have to find the equation for the demand function.

The demand function is linear and have form:

[tex]p = mq + b[/tex]

where p is the cost and q is the demand, m is the slope and b is the y-intercept of the line.

[tex](p-p_1) = \displaystyle\frac{p_2-p_2}{q_2-q_1}(q-q_1)[/tex]

The equation of demand function is:

[tex](p-700) = \displaystyle\frac{700 - 640}{350-450}(q-350)\\\\(p-700)= -0.6(q-350)\\p =-0.6q +910[/tex]