Carlos is selling bracelets for $2 each and necklaces for $3 each to raise $500 for his basketball gear. Which of the following
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Using geometric sequence concepts, it is found that:
a) The rule is: .
b) An exponential relationship exists between the two variables.
<h3>What is a geometric sequence?</h3>A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
In which is the first term.
A geometric sequence represents an exponential relationship between the variables.
In this problem, considering that the first-place finisher wins half of $1.500.000 in total prize money, and each finisher earns half of the one who finished above, the first term and the common ratio are given by:
.
Hence the nth term of the sequence is given by:
More can be learned about geometric sequence concepts at brainly.com/question/11847927
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Step-by-step explanation:
To get the inverse, swap the x- and y-variables, then solve for y. We should have the equation:
Solving for y:
because
or
So on interchanging the variable, we get the equation: