In mayfield, the taxi fare is $3.50 for the first mile and an additional $.50 for each mile after the first. You plan to give the driver a $3 tip for your 13-mile taxi ride. Write an equation to represent how much your taxi ride will cost. Highlight your equation in green.then, solve the equation.
c = 3 + 3.50 + .50 ( 13-1)
around twelve and a half dollars
The equation to represent the cost of your taxi ride can be written as:
Cost = $3.50 + ($0.50 x (miles - 1)) + $3
Where:
- $3.50 represents the fare for the first mile,
- $0.50 is the additional cost per mile after the first,
- (miles - 1) represents the number of additional miles after the first mile,
- $3 is the tip you plan to give to the driver.
Simplifying the equation, it becomes:
Cost = $3.50 + $0.50miles - $0.50 + $3
= $0.50miles + $6
Solving the equation, since you have a 13-mile taxi ride:
Cost = $0.50 x 13 + $6
Cost = $6.50 + $6
Cost = $12.50
Therefore, the cost of your taxi ride will be $12.50.
To write an equation representing the cost of your taxi ride, we need to consider the initial fare and the additional cost for each mile after the first.
Let's break it down step by step:
1. The initial fare for the first mile is $3.50.
2. The additional cost for each mile after the first is $0.50.
3. The total number of miles you will be traveling is 13.
4. You plan to give the driver a $3 tip.
To calculate the cost, we can multiply the number of additional miles (m) by the additional cost per mile ($0.50), add the initial fare ($3.50), and add the tip ($3). The equation will be:
Total Cost = Initial Fare + (Additional Miles × Additional Cost per Mile) + Tip
Let's highlight the equation in green:
Total Cost = $3.50 + ($0.50 × m) + $3
To solve the equation, we substitute the value of the total number of miles (13) for "m" in the equation:
Total Cost = $3.50 + ($0.50 × 13) + $3
Total Cost = $3.50 + $6.50 + $3
Total Cost = $13.00
Therefore, your taxi ride will cost $13.00 in total.