3. Four pencils and two pens cost $0.74. Six pencils and five pens cost $1.53.
1 answer:
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Answer:
Step-by-step explanation:
One is given the following function:
One is asked to evaluate the function for , substitute
in place of
, and simplify to evaluate:
A recursive formula is another method used to represent the formula of a sequence such that each term is expressed as a function of the last term in the sequence. In this case, one is asked to find the recursive formula of an arithmetic sequence: that is, a sequence of numbers where the difference between any two consecutive terms is constant. The following general formula is used to represent the recursive formula of an arithmetic sequence:
Where () is the evaluator term (
) represents the term before the evaluator term, and (d) represents the common difference (the result attained from subtracting two consecutive terms). In this case (and in the case for most arithmetic sequences), the common difference can be found in the standard formula of the function. It is the coefficient of the variable (n) or the input variable. Substitute this into the recursive formula, then rewrite the recursive formula such that it suits the needs of the given problem,
The distance traveled by the Salmon is proportional to the duration spent
swimming.
A table of the distance traveled by the Atlantic Salmon is presented as follows;
Reasons:
The given parameter are;
The steady rate at which Atlantic Salmon swims = 2 miles in 3 minutes
Distance the Salmon swims, d ∝ Time taken, t
Therefore;
d = s·t
Where;
s = The constant of proportionality = The speed
Which gives;
The speed with which the Atlantic Salmon swims per minute is therefore;
The distance travelled, <em>d</em>, is given as follows;
A table showing the distance travelled by the fish with time is presented as follows;
Learn more about constant of proportionality here: