Answer:
Initial fee = b = y intercept = $25
Step-by-step explanation:
A snowboard instructor charges an initial fee plus $40 per hour for private snowboarding lessons. The cost of 2, 3, and 4 hours respectively is $105, $145, and $185. What is the initial fee (y-intercept)
The Equation of a straight line =
y = mx+b
where m is the slope and b is the y-intercept.
From the above question
m = $40
x = number of hours
When x = 2 , y = $105
x = 3, y = $145
x = 4 , y = $185
We are to find b
Hence:
x = 2 , y = $105
105 = 40 × 2 + b
105 = 80 + b
b = 105 - 80
b = $25
x = 3, y = $145
145 = 40 × 3+ b
145 = 120 + b
b = 145 - 120
b = $25
x = 4 , y = $185
185 = 40 × 4 + b
185 = 160 + b
b = 185 - 160
b = $25
The initial fee = $25
