I have a problem that I don't know how to solve. I have to create an equation form the rate of a cab company. ABQ Green Cab Co. has a flat fee of $2.94 and the price per mile is $2.60. Here is the question:b. Write an equation in slope-intercept, point-slope, or standard form. Explain why you chose the form you did. please help. I need to get this done today.
As you must know, in
y = mx + b, m is the slope or rate, and b is a constant or fixed fee.
I would choose this form, since the information can just be plopped in there.
Thank you so much, your a life saver.
To create an equation based on the rate of a cab company, you can use the slope-intercept form of a linear equation. This form is written as y = mx + b, where y represents the total cost, x represents the number of miles, m represents the rate per mile, and b represents the flat fee.
In this case, the rate per mile is $2.60, and the flat fee is $2.94. So, the equation can be written as:
y = 2.60x + 2.94
You would choose the slope-intercept form because it is the most suitable for representing linear relationships between variables. The slope (2.60) represents the rate per mile, while the y-intercept (2.94) represents the flat fee. By using this form, you can easily calculate the total cost for any number of miles traveled.
To create an equation representing the rate of ABQ Green Cab Co., we can use the slope-intercept form of a linear equation, which is given by:
y = mx + b
Where:
- y represents the total cost of the cab ride
- x represents the number of miles traveled
- m represents the slope (or rate) of the cab company, which is the price per mile
- b represents the y-intercept, which is the flat fee
Using the information provided in the question:
- The flat fee is $2.94, which represents the y-intercept (b) in the equation.
- The price per mile is $2.60, which represents the slope (m) in the equation.
Therefore, the equation for the rate of ABQ Green Cab Co. can be written as:
y = 2.60x + 2.94
In this equation, the x-variable represents the number of miles traveled, and the y-variable represents the total cost of the cab ride. The slope (2.60) indicates that for every mile traveled, the cost increases by $2.60. The y-intercept (2.94) represents the flat fee that is added to the cost regardless of the distance traveled.
You can now use this equation to calculate the cost of a cab ride for any given number of miles.