# 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

Dec 10, 2017

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

#### 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:

$y = m x + 60$

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: $y = 5 x + 60$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 $5 X$(X representing the unknown amount of additional kilometers.) The new equation with this consideration is $Y = 60 + 5 X$or $Y = 5 X + 60\$ if we rewrite it.