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)

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

3: 2

step-by-step explanation:

shorter piece is 2: 3, so just reverse it, and you get 3: 2