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.