Question

A daycare facility charges a fee for every minute that a parent is late after the facility’s published closing time. The table represents the fee, y, which is dependent on the number of minutes late, x.

x
y
5
32
8
50
11
68

Which of the following linear equations represents the situation?
y = 3 x + 22
y = 6 x + 36
y = 6 x + 2
y = 24 x + 36

Answer 1

Find the slope: (50 − 32)/(8 − 5) = 18/3 = 6.
Use y = 6x + b and plug (5,32): 32 = 6(5) + b → b = 2.
So the equation is y = 6x + 2.