Question

How do yo solve this problem of Lineal Equation?

Peter has a car rental store each car costs $60 a day and $5 for each additional kilometer. What equation does the expression of daily cost and number of kilometers represent?
A) Y=60X-5 B)60X+5 C)5X-60 D)5X+60

Answer 1

The answer should be D, or `y=5x+60`

Explanation:

Let's start by setting `y` equal to the daily cost of a rental. We know that no matter what everyone has to pay a flat cost of $60. So even if you drive 0 km, you pay $60. If we say that distance traveled (in km) is `x`, then when `x=0`, `y=60`, so we have to have something with the following format:

`y=mx+60`

To determine `m`, we need to note the amount of additional money it costs to drive 1 km. In the problem it states that it costs $5 for each additional km, so `m` must equal 5. So we get this:

`y=5x+60` which follows answer D.

Hope this helps!

Answer 2

D

Explanation:

The fixed price is $60, so we know the equation is going to have a fixed 60.

Equation right now is `Y = 60`

Now we include the second part of the question. For every addition of kilometers traveled, we add by $5. Since additional kilometers can be any number, we can write that as `5X` (X representing the unknown amount of additional kilometers.)

The new equation with this consideration is `Y = 60 + 5X` or `Y=5X+60` if we rewrite it.

Therefore the answer is D