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Varvara68 [4.7K]
3 years ago
8

Raul opened a savings account with $3,500 . Each week , x , raul pays the dog sitter $25 from his saving account. Write a functi

on, f(x) , that is equal to the amount of money in the account after Raul pays the dog sitter each week .
​
Mathematics
1 answer:
BARSIC [14]3 years ago
5 0

Answer:

f(x) = -25d + 3,500

Step-by-step explanation:

Raul opened a savings account with $3,500.

Each week, Dale pays the dog sitter $25 from his saving account.

Let d be the number of weeks and f(x) be the function representing the amount of money in the account after Raul pays the dog sitter d weeks.

The amount of money in the Raul's account is decreasing each week by $25, then the slope of the linear function is

Initially, at week d=0, Raul's account has $3,500, so b=3,500.

Write the function's expression in the form

f(x) = md + b

Hence,

f(x) = -25d + 3,500

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The correct values as response to the questions are;

The minimum possible <em>top score</em> is <u>21</u>

The maximum possible <em>top score</em> is <u>32</u>

The <em>minimum </em>of the possible <em>standard deviation</em> is approximately <u>1.26</u>

The <em>maximum </em>of the possible <em>standard deviation</em> is approximately <u>11.7</u>

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The minimum possible score;

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The maximum of the possible standard deviations

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The scores obtainable in the test is Scores ≥ 9

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By arrangement, with the median at the middle, the minimum possible top score is given as follows;

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Therefore, the minimum possible top score is <u>21</u>

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The maximum possible top score is similarly given by arrangement of the numbers as follows'

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The maximum possible top score is <u>32</u>

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By arrangement and selection, the minimum standard deviation is given as follows;

The minimum of the possible standard deviations of (9, 9, 9, 11, 12) ≈ <u>1.26</u>

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The maximum of the possible standard deviation is given as follows;

The maximum of the possible standard deviation of (0, 0, 9, 9, 32) ≈ <u>11.7</u>

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