For number 5 why was that the answer? can someone please help to explain number 5.

The explicit rule for the sequence in the table above is:

∴ 2nd option i.e.  is the correct option.

Step-by-step explanation:

Given the table

Tickets            1         2       3         4

Total Cost        12       22     32      42

An arithmetic sequence has a constant difference 'd' and is defined by  

where:

= nth term

= first term

= term position

= common difference

In our case, the Arithmetic sequence is

12, 22, 32, 42,...

computing the differences of all the adjacent terms

The difference between all the adjacent terms is the same and equal to

Important Tip:

As the first term involves the cost of 1 ticket which is 12, thus

Now using the nth term formula of the Arithmetic sequence

now substituting and in the formula

simplifying

Therefore, the explicit rule for the sequence in the table above is:

∴ 2nd option i.e.  is the correct option.

aloha~! my name is zalgo and i am here to you out on this gracious day. in order to compare the ratios easily, it is best that we simplify the question first. so, the cougars would have 6 wins for 5 losses, bobcats make 2 wins for 1 loss. bulldogs and tigers have a ratio where you can't simplify it. so, the team with the lowest rate would be the bobcats.

i hope that this ! : d

"stay and stay proud! " - zalgo

answer: 230 miles ( vote ! )

step-by-step explanation:

180.39 minus 17.99 equals 162.4

then divide 162.4 by .80 to get 230