The manager of Cups R’ us handed out 125 coupons to his customers on Monday, c coupons in Tuesday, and 220 coupons on the Wednes
day.Write an expression for the total number of coupons the manager handed out. Then simplify the expression.
1 answer:
<h2>Answer:</h2>
This problem tells us that the manager of Cups R’ us handed out a certain amount of coupons to his costumers, so we can write this as follows:
ON MONDAY:
He handed out 125 coupons
ON TUESDAY:
He handed out c coupons
ON WEDNESDAY:
He handed out 220 coupons
Therefore, we can write an expression for the total number of coupons the manager handed out as the sum of the number of coupons he handed out each day, that is:
Where T represents the total number of coupons the manager handed out. By simplifying this we have:
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A
this is an arithmetic sequence whose n th term ( explicit formula) is
=
+ (n - 1 )d
where d is the common difference and the first term
here d = 10 - 8 = 8 - 6 = 6 - 4 = 2 and = 4, hence
= 4 + 2(n - 1 ) = 4 + 2n - 2 = 2n + 2 → A
we know that
the equation
describe a vertical parabola with vertex at point
if -------> the parabola open Up and the vertex is a minimum
if -------> the parabola open Down and the vertex is a maximum
in this problem we have
---> because is positive (given problem)
so
The vertex is a minimum
therefore
<u>the answer is the option C</u>
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