Write an equation for:
One taxi company charges $1.50 for the first 2 miles of any trip,and then $1.20 for each mile after that. How is the taxi fare related to the distance of a trip?
Call the number of miles x.
Every trip costs at least 1.50, so we can call that a constant that we add to every trip. It is also the only fare if the trip is two miles or less/
In addition to that, every trip over two miles costs an extra 1.20 * x, except for the first two miles, so that's
1.20 * (x - 2)
plus the flat fare for the first two miles.
There will be two rules for the fare, one for two miles or less, and one for more than two miles.
I hope you can finish from there!
Thank you very much. :)
To find the equation that relates the taxi fare to the distance of a trip, we need to break down the cost per mile.
The taxi company charges $1.50 for the first 2 miles of any trip. So, for a trip of 2 miles or less, the total fare will always be $1.50.
For a trip longer than 2 miles, the taxi company charges $1.20 for each additional mile. This means that for every mile after the first 2 miles, the fare will increase by $1.20.
Let's denote the distance of the trip as "x" (in miles) and the total fare as "y" (in dollars). Based on what we discussed earlier, we can write the equation as follows:
y = $1.50 + $1.20(x - 2)
To explain the equation further, we subtract 2 from the distance (x - 2) because the initial 2 miles already have a fixed fare of $1.50. Then, we multiply the difference by $1.20 to find the cost for each additional mile, and finally, add the fixed fare of $1.50.
This equation allows you to calculate the taxi fare for any given distance, x.