A local cinema found that if the price of admission was $16, the attendance was about 950 customers per day. When the price of admission was dropped to $5, attendance increased to about 1550 per day. Write a linear equation for the attendance in terms of the price, p. (A = mp+b)

A = -10*p + 2220

Step-by-step explanation:

To write a linear equation let define

A = attendance

m = slope of the line

b = intercept of the line

p = Price  of admision

let´s find m, using the two points (p,A)

point 1 = (13, 2050)

point 2 = (12, 2100)

m = (2100 – 2050)/(12-17) = -10

Replacing m in the equation  

A=-10p+b

To find b, let´s use point 1  

2050 = -10*17 + b

B = 2050  + 170

b = 2220

finally, the equation is

A = -10*p + 2220

10.416 meters per second

step-by-step explanation:

distance=1 00 meters

time= 9.6 seconds in decimal form or 9 3/5 as a mixed number

average speed= 100/9.6

=10.416 meters per second or 10 52/125 as a mixed number.