Respuesta :
Answer:
Step-by-step explanation:
Let x represent the number of showings of a movie.
Let y represent the amount earned from x showings.
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis
change in the value of y = y2 - y1
Change in value of x = x2 -x1
y2 = final value of y
y 1 = initial value of y
x2 = final value of x
x1 = initial value of x
From the information given,
y2 = 3000
y1 = 2000
x2 = 7
x1 = 5
Slope,m = (3000 - 2000)/(7 - 5) = 1000/2 = 500
To determine the intercept, we would substitute x = 5, y = 2000 and m= 500 into y = mx + c. It becomes
2000 = 500 × 5 + c = 2500 + c
c = 2000 - 2500 = - 500
The equation becomes
y = 500x - 500
