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

2 Answers
Dec 10, 2017

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!

Dec 10, 2017

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