a public utility vehicle charges 5.00 for the first four kilometre and 0.75 for every additional kilometrr.what is the distance travelled if a passenger is charged 43.25?
To find the distance traveled when a passenger is charged $43.25, we need to determine the number of additional kilometers beyond the initial 4 kilometers.
Let's denote the additional kilometers as "x".
The cost for the initial 4 kilometers is $5.00, and the cost for each additional kilometer is $0.75.
The cost for the additional kilometers can be calculated as follows:
Additional kilometers cost = x * $0.75 = $0.75x
The total cost for the trip is the sum of the cost for the initial 4 kilometers and the cost for the additional kilometers:
Total cost = $5.00 + $0.75x
We can set up an equation using the given total cost of $43.25 and solve for x:
$43.25 = $5.00 + $0.75x
Subtracting $5.00 from both sides, we get:
$38.25 = $0.75x
Now, divide both sides of the equation by $0.75 to isolate x:
x = $38.25 / $0.75
Evaluating the right side of the equation, we find:
x = 51
Therefore, the passenger traveled an additional 51 kilometers beyond the initial 4 kilometers.
To find the total distance traveled, we add the initial 4 kilometers to the additional 51 kilometers:
Total distance traveled = initial 4 kilometers + additional 51 kilometers
Total distance traveled = 4 + 51
Total distance traveled = 55 kilometers
So, the distance traveled is 55 kilometers.
To determine the distance traveled based on the fare charged, we need to divide the total fare by the fare per kilometer for the additional distance.
First, let's calculate the fare for the initial 4 kilometers, which is $5.00.
Next, let's calculate the fare for the additional distance:
The fare per kilometer for an additional distance is $0.75.
To determine how many additional kilometers were traveled, we can subtract the fare for the initial 4 kilometers from the total fare:
$43.25 - $5.00 = $38.25.
Now, we can divide the fare for the additional distance by the fare per kilometer for the additional distance to find out how many additional kilometers were traveled:
$38.25 ÷ $0.75 = 51 kilometers.
Therefore, the total distance traveled is 4 kilometers (initial distance) + 51 kilometers (additional distance) = 55 kilometers.
charge = 5 + .75(k - 4), where k is the number of kilometres.
43.25 = 5 + .75(k - 4)
solve for k