Question

An automaker produces a car that can travel 40 miles on its charged battery before it begins to use gas. Then the car travels 50 miles for each gallon of gas used.

A) Represent the relationship between the amount of gas used and the distance traveled using a table and an equation.

B) Is the total distance traveled a function of the amount of gas used? What are the independent and dependent variables? Explain

Answer 1

A)
Table                               
amount of gas used(gallons)      distance traveled(miles)
            x                                                y

            0                                               40
            1                                               90
            2                                             140
            3                                             190
            4                                             240
            5                                             290

equation

y = 40 + 50 x

Where x is the amount of gas used in gallons and y is the distance traveled

A) Yes, the total distance traveled is a function of the amount of gas uses, becuase given the amount of gas used you can tell the distance traveled.

The independent variabl is the amount of gas used and the independent variable is the distance traveled. This is you input the amount of gas used ant the output of the function is the distance traveled.