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natima [27]
3 years ago
11

Claire has $300 Is an account. She decides she is going to take out $25 each month.

Mathematics
2 answers:
faltersainse [42]3 years ago
8 0

Total amount of Money in Claire account = $300

 Amount that,claire is going to take out each month = $ 25

As, she is going to take $25 ,each month ,the money in the account will form an Airthmetic sequence.

SequenceS_{n}

=300+(300-25)+(300-2×25)+(300-3×25)+............+(300-12×25)

                 =300+275+250+225+200+..................+25+0

First Term =300

Common Difference

                      =Second term - First term

                      =275 - 300

                      = -25

Recursive Formula

     A_{n}=A_{n-1}-25\\\\A_{n}=\text{nth term}\\\\A_{n-1}=\text{(n-1)th term}  

Explicit Formula

A_{n}=A+(n-1)D\\\\A_{n}=300+(n-1)*25

Graph will be like this

 Y-Intercept=300

 If $ 25 is taken out every month,

Number of month required to draw total of $ 300

   =\frac{300}{25}\\\\=12

So, equation of line can be derived using point slope form,as line cut x axis at (12,0) and y axis at (0,300).

     \rightarrow \frac{x}{12}+\frac{y}{300}=1

Elena-2011 [213]3 years ago
5 0
Recursive equation would be f(x+1) = f(x) - 25 with f(0) = 300

Explicit equation would be f(x) = -25x + 300

And graph would looks like this: 

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