Question

The function The function p(t)=4+2(t−1) represents the number of people who can be seated at an event. The total of t tables are arranged in a certain way.

Select EACH correct statement about the scenario.

[] The function is an arithmetic sequence.
[] The number 2 is the beginning number of tables.
[] The number 2 is the number of tables added when t increases by 1.
[] The number 4 represents the number of people that can be seated at an event if only 1 table is available.

*Multiple Choice*

Answer 1

The correct statements about the scenario are;

• The function is an arithmetic sequence
• The number 2 is the number of tables added when t increases by 1.
• The number 4 represents the number of people that can be seated at an event if only 1 table is available.

According to the function given;

• p(t)=4+2(t−1)

Evidently, the function, p(t) represents the number of people that can sit when t tables are available.

• T(n) = a + d(n -1)

In essence, the function resembles that of a general arithmetic progression with first term, a = 4.

The common difference, d = 2.

The statements which are correct are therefore as listed above.

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