A taxi ride costs $3 plus $2.50 per mile. Write and graph an equation in two variables that represents the total cost of a taxi ride. Let mm represent number of miles and cc represent the total cost (in dollars) of the taxi ride.
c=3+2.50m
how do you graph it?
To write the equation, we need to consider the given information: a taxi ride costs $3 plus $2.50 per mile. Let's break it down:
The $3 is the base fare, which is added to every taxi ride, regardless of the distance traveled.
The $2.50 per mile is the additional cost for each mile traveled. We can multiply the number of miles (m) by $2.50 to find the additional cost based on the distance.
Therefore, the equation representing the total cost (c) of a taxi ride in terms of the number of miles would be:
c = 3 + 2.50m
To graph this equation, consider m as the x-axis and c as the y-axis. Plot the points where the line intersects the axes:
When m = 0, c = 3. So the point (0, 3) represents the starting point of $3 (y-intercept).
When c = 0, 3 + 2.50m = 0. Solving for m, we get m = -3/2.50 = -1.2. So the point (-1.2, 0) represents the distance of -1.2 miles where the cost is $0 (x-intercept).
Now, plot these two points and draw a line passing through them. This line represents the total cost of a taxi ride as the number of miles increases.
Note: The line should be a straight line since it has a constant slope of $2.50 per mile.