Answer:
f(x) = 7.75x + 12.5
The slope represents the cost per movie ticket.
The intercept represents the flat fee paid to see movies.
Step-by-step explanation:
From the data given :
When x = 3 ; f(x) = 35.75
When x = 5 ; f(x) = 51. 25
Linear function :
y = mx + c
f(x) = mx + c
m = slope ; c = intercept
35.75 = 3m + c - - - (1)
51.25 = 5m + c - - - (2)
Subtract
-15.5 = - 2m
m = 15.5 / 2
m = 7.75
From (1)
35.75 = 3m + c
35.75 = 3(7.75) + c
35.75 = 23.25 + c
c = 35.75 - 23.25
c = 12.5
y = 7.75x + 12.5
f(x) = 7.75x + 12.5
B.) The slope represents the cost per movie ticket.
The intercept represents the flat fee paid to see movies.
