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The daily fee for docking a boat at a marina in port Canaveral is proportional to the length of the boat. The table displays the fee for four different boat lengths. find the constant of proportionality and explain what it means in the context of this problem.​

The daily fee for docking a boat at a marina in port Canaveral is proportional to the length of the boat The table displays the fee for four different boat leng class=

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Answer:

Constant of proportionality = 2.25

What this value means is that the ratio between the daily fee for docking a boat at a marina in port and the length of the boat is 2.25

Step-by-step explanation:

We are told that the daily fee for docking a boat at a marina in port Canaveral is proportional to the length of the boat.

Let D be represent the daily fee and let the lent be L.

D ∝ L

Let the constant of proportionality be k.

Thus;

D = kL

k = D/L

For length of 15 ft;

k = 33.75/15

k = 2.25

For length of 17 ft

k = 38.25/17

k = 2.25

For length of 20 ft

k = 45/20

k = 2.25

Foe length of 21 ft

k = 47.25/21

k = 2.25

This means the formula for the relationship between the daily fee and boat length is; D = 2.25L

Thus, D/L = 2.25

What this means is that the ratio between the daily fee for docking a boat at a marina in port and the length of the boat is 2.25

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