The cost of a cab trip, y, is given by the table, where x is the number of miles traveled. Which THREE statements are
correct?
A)
The rate of change is $0.75.
B)
A ten mile trip would cost $12.00.
The initial passenger fee is $2.00.
D)
A twenty mile trip would cost $17.00.
E
The cost of a cab trip can be modeled by the function y = 1x + 2.

The three statements that describe this function are the rate of change is $0.75, the initial fee is $2, and a twenty-mile trip is $17.

What is a function?

A function shows the mathematical relation between two factors. In this case, the factors are miles and cost.

What is true about this function:

The rate of change is $0.75: The difference in the cost between one mile and the next one is always $0.75. For example, a 4-mile trip is $5 and a 3-mile trip is $4.25 (5-4.25= 0.75).
The initial fee is $2: When the value of the miles is 0 the cost is $2, which shows this is the initial basic fee.
A twenty-mile trip is $17: The function follows the pattern 2 + x (0.75); this means 2 + (20 x 0.75) = 2 + 15 = $17.

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