Yes, The situation of renting a bike at Gull Beach can be modeled as a linear relationship.
In a linear relationship, the number of hours the bike is rented for is the independent variable, and the dependent variable (the total cost of renting the bike) is directly proportional to it. The rate of change of the linear relationship is the additional amount per hour.
First, let's write "a" (a constant) for the rental charge and "b" (also a constant) for the additional amount each hour. The sum total for the bike rental, "C"
can be expressed as a linear equation:
C = a + (b × h)
Where:
C is the total cost of renting the bike
a is the initial rental fee
b is the additional amount per hour
h is the number of hours the bike is rented for
This equation uses "a" to stand for the y-intercept, or the first rental charge, and "b" to stand for the slope of the line, or the hourly increase.
We can use the equation to determine the total cost of renting the bike for a specific amount of hours.
Question
While visiting Gull Beach, Jeremiah wants to rent a bike to explore the area. He will pay an initial rental fee and an additional amount per hour he rents the bike. This situation can be modeled as a linear relationship.