Answer:
The answer is below
Explanation:
Find the x-intercept of this equation.
What does this x-intercept mean?
Use part (b) to comment on the limitations of using equations to model real data.
Solution:
The equation of a straight line is given by y = mx + b; where y and x are variables, m is the slope of the line (rate of change) and b is the y intercept.
Given the equation:
y= -0.025x + 1.25
a) The x intercept is the value of x when y = 0. Therefore:
0 = -0.025x + 1.25
0.025x = 1.25
x = 50
b) The x intercept x = 50 means that the theater admitted 0 number of people in the year 2052 (50 years after 2002).
c) The equation has limitations because from x > 50, we start to see that y is negative; and the number of people admitted cannot be negative.