Question

Kaya's family spends $105 to rent a boat for 7 days. The total cost, c, of the boat rental is proportional to the number of days, d, the family rents the boat. How much does it cost in dollars to rent the boat for one day?. Create an equation c and d to represent the proportional relationship

Answer 1

`c=15d`

Explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
`k=(y)/(x)` or
`y=kx`

Let

c ----> the total cost of the boat rental

d ---> is the number of days, the family rents the boat

we know that

Kaya's family spends $105 to rent a boat for 7 days

so

For d=7 days, c=$105

Find the value of the constant of proportionality k

`k=(c)/(d)`

substitute the given values

`k=(105)/(7)=\$15\ per\ day`

therefore

The linear direct equation is equal to

`c=15d`