Question

The formula for the remaining volume of fuel in a cars tank is I - E • D, where I is the initial volume of fuel, E if the fuel efficiency, and D is the distance traveled. Carson drove a distance of 120 kilometres. He initially had 30 litres of fuel, and his car's fuel efficiency is 100 cubic centimetres per kilometer. What calculation will give us the estimated volume of fuel left in Carson's tank by the end of the drive, in litres? a)30-100/1000 • 120 b)30•1000-100•20 c)30/1000 -100•120 d)30-100•1000•120

Answer 1

A (30-(100/1000)x120)

Explanation:

I is a volume quantity, D is a distance quantity, and E is a rate measured as volume/distance.

So ExD gives us volume quantity.

Distance units are consistent (kilometers) but the volume units of E are inconsistent with those of I and the desired answer.

Let's convert E to liters per kilometer. We will use the fact that there are 1000 cubic centimeters per liter.

You get: 30 liter - 100/1000 liters/kilometer x 120 kilometers

In conclusion, this is the calculation that will give us the estimated volume of fuel that remains in Carson's tank by the end of the drive, in liters:

30-100/1000x120.

Hope this helps!

Answer 2

a)30-100/1000 • 120

Explanation:

Given:

Remaining volume of fuel in a cars tank = I - E • D

where,

I = initial volume of fuel

E = fuel efficiency

D = distance traveled.

Carson

I = 30

E = 100

D = 120

Estimated volume of fuel in Carson's tank = I - E • D

= 30 - 100/1000 * 120

a)30-100/1000 • 120