Answer:
Option (A)
Step-by-step explanation:
Let the equation of the linear function representing number of party guests (c) and total cost (p) is in the form of c = mp + b
m = Slope of the line
b = y-intercept
Choose the two ordered pairs from the table (3, 274) and (7, 306).
Slope of the function 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m = [tex]\frac{306-274}{7-3}[/tex]
m = 8
Since, equation of a line passing through (x', y') and slope m is,
y - y' = m(x - x')
Therefore, equation of a line passing through (3, 274) and slope = 8,
y - 274 = 8(x - 3)
y - 274 = 8x - 24
y = 8x + 274 - 24
y = 8x + 250
Since, y = p and x = c
Therefore, p = 8c + 250 will be the equation.
Option (A) is the answer.
