Final Answer:
The equation that represents the total cost of the boat (y) based on the number of minutes of the trip (x) is y = 5.0x + 80.0. None of the given options is answer.
Step-by-step explanation:
The cost of the boat increases linearly with the number of minutes of the trip. This means that the relationship between the cost (y) and the number of minutes (x) can be represented by a linear equation of the form:
y = mx + b
where:
m is the slope of the line, which represents the rate of change of the cost per minute
b is the y-intercept, which represents the cost of the boat when the number of minutes is 0
To find the values of m and b, we can use the given information that a 45-minute boat ride costs $305 and a 90-minute boat ride costs $530. This gives us two points on the line:
(45, 305)
(90, 530)
Substituting these points into the linear equation, we get two equations:
305 = 45m + b
530 = 90m + b
Solving this system of equations, we get:
m = 5.0
b = 80.0
Therefore, the equation that represents the total cost of the boat (y) based on the number of minutes of the trip (x) is y = 5.0x + 80.0.
None of the given options is answer.