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Sagot :
The plan with the smallest one-time membership fee is Plan D.
The point-slope formula will be used to determine the equation that models the cost of each plans.
(y - y₁) = [(y₂ - y₁)/(x₂ - x₁)](x - x₁)
where (x₁, y₁) is the coordinates of point 1
(x₂, y₂) is the coordinates of point 2.
For the equation y = mx + b,
let x = number of discs rented
y = total cost
m = rental rate per disc
b = one-time membership fee
Plan A
(y - 14) = [(17 - 14)/(2 - 1)](x - 1)
y - 14 = 3x - 3
y = 3x + 11
Plan B
(y - 12) = [(16 - 12)/(2 - 1)](x - 1)
y - 12 = 4x - 4
y = 4x + 8
Plan C
(y - 10) = [(15 - 10)/(2 - 1)](x - 1)
y - 10 = 5x - 5
y = 5x + 5
Plan D
(y - 12) = [(21 - 12)/(2 - 1)](x - 1)
y - 12 = 9x - 9
y = 9x + 3
Hence, the plan with the smallest one-time membership fee, b, is Plan D.
Your question is incomplete, but most probably you are asking
"...Which plan has the smallest one-time membership fee?"
Learn more about point-slope formula here: https://brainly.com/question/6497976
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