Girod’s taxicab company charges a flat rate of $3.00 plus $1.50 for every mile traveled. Does the taxicab company pricing represent a function? Explain how you know and be sure to use precise mathematical language (input, output, rule). Write an equation to represent the relationship between the miles traveled and total cost of the fare. Be sure to define the variables you use.

Define variables:

Equation:

Explain how your equation from number 4 represents the real-world context described above. Be sure to use precise mathematical language (constant rate, variable, y-intercept, initial value).

Evaluate this function when you spend $45 on a taxicab ride. How far did you travel in the taxicab? Show your work or explain your reasoning.

Makai’s taxicab company uses this equation to calculate their pricing: y = 0.5x + 5
Describe what each part of the equation represents in the real-world context of taxicab pricing. Be sure to describe the variables, slope, and y-intercept in the equation.

Which company would be cheaper if you have to travel 20 miles? Show your work or explain your reasoning.

Which company will take you further when you spend $30? Show your work or explain your reasoning.