Linear Relationships in Point Slope Forn

Question

An athlete has decided to track how many minutes the exercise each day. During the first day, the athlete exercised for 30 minutes. For each day after that, the athlete increased their exercise time by 3 minutes. Which equation in point slope form models the number of minutes the athlete exercises, y based on the day, x?

Option 1: y - 30 = 3(x-1)

Option 2: y + 30 = 3(x+1)

Option 3: y - 1 = 3(x-30)

Option 4: y + 1 = 3(x+30)

Answer 1

The initial conditions from the description above (x₁,y₁) = (1,30)

The point slope form

y-y₁ = m(x-x₁)

The slope m = change in minutes/change in days = 3/1 = 3

Therefore Option1 is the correct answer