Taxi charges are $3.75 plus $1.53 per kilometre for any trip in Sydney. If Elena’s taxi farewas $42.00, how far did she travel?

Question

can u show me the working out plz!

Answer 1

Bob,

 

Can you see that the Taxi Charges are an initial cost of $3.75 plus $1.53 per Km traveled or 

 

Taxi Fare = $3.75 + $1.53 * number of Km traveled

 

Since we are given the total amount of the fare, all we need to do is solve for the number of Km traveled

 

$42.00 = $3.75 + $1.53 * number of Km traveled

 

subtract $3.75 from both sides leaves

 

$42.00 - $3.75 =  $1.53 * number of Km traveled

 

$38.25 = $1.53 * number of Km traveled

 

Since we really don't want to know how many 1.53 Km's she traveled. In order to find the number of Km's traveled, we need to divide both sides by 1.53

 

That will give you the number of Km's Elena traveled.

 

Let me know if you still need help,

 

Walter 

Answer 2

First, define variables:

f = fare (dependent)

k = kilometres of trip (independent)

 

Next, find their relationship:

f = 3.75 + 1.53k

 

Given f = 42, find k:

"plug & chug" - plug in what we know is true to find what we don't know:

 

42 = 3.75 + 1.53k     subtract 3.75 from both sides

38.25 = 1.53k           divide both sides by 1.53

38.25/1.53 = k         perform division

25 = k

 

So, Elena traveled 25 kilometres if her fare was $42.00.

 

check:

3.75 + 1.53(25) = 3.75 + 38.25 = 42