The price of discount airline ticket starts at $150 and increases by $30 each week. Which algebraic expression models this situation?

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Answer 1 · 2018-03-24T21:07:35

So we start at $150$ dollars. Then we add on $30$ dollars per week.

So we have $150$ plus $30$ , which changes each week. By the second week it's $150 + 60$ , week three has $150 + 90$ .

So our equation is $150 + 30x$

Answer 2 · 2018-03-24T21:07:58

$150 + 30x$

Since the airline ticket begins at $150$ , that is the beginning of the equation:

$150$

But the ticket increases by $$30$ every week, so let's start out with that. The first week, the equation is:

$150 + 30$

The second week it would be:

$150 + 30(2) rarr 150 + 60$

The third week it would be:

$150 + 30(3) rarr 150 + 90$

The fourth week it would be:
$150 + 30(4) rarr 150 + 120$

So you can see a pattern. Every week you multiply $30$ by the week that it is. We can write this fact algebraically by saying:

$150 + 30(x)$
where $x$ is the week.