Kaya's family spends \$ 105$105 to rent a boat for 77 days. The total cost, cc, of the boat rental is proportional to the number of days, dd, the family rents the boat. . Create an equation using c and d to represent the proportional relationship.
To create an equation representing the proportional relationship between the total cost (c) and the number of days (d) the family rents the boat, we can set up the equation in the form c = k * d, where k is a constant of proportionality.
In this case, we are given that the family spends $105 to rent the boat for 77 days. Therefore, we can plug in these values into the equation and solve for k.
105 = k * 77.
To find the value of k, we can divide both sides of the equation by 77:
105 / 77 = k.
Using a calculator to evaluate the left side of the equation, we find:
k ≈ 1.3636.
Therefore, the equation representing the proportional relationship between the total cost c and the number of days d is:
c = 1.3636 * d.