Question

there is a linear relationship between the number of people in a group and the cost to enter a museum. the museum charges $20 for two people and 28 for three. what is the equation that relates the number of people in a group to the cost of entering the museum? (slope-intercept form)

Answer 1

Two points (2,20) (3,28)
y-y1=m(x-x1)
28-20=m(3-2)
8=m
y-20=8(x-2)
y=8x-16+20
y=8x+4
Check:
x=2 y=8*2+4=20
x=3 y=8*3+4=28