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The graph that correctly shows the minimum amount due for a credit amount (x) is graph B.
<h3>How to determine the graph with the minimum amount due?</h3>First of all, we would assign a variable to the different amount of money as follows:
- Let x be the credit amount.
- Let y be the minimum amount due.
Translating the word problem into an algebraic expression, we have;
For a bill of less than $100, the entire amount is due:
0 ≤ x < $100, therefore, y = x
For a bill of at least $100 but less than $500, the minimum due is $100: $100 ≤ x < $500, therefore, y = 100
For a bill of at least $500 but less than $1,000, the minimum due is $300:
$500 ≤ x < $1000, therefore, y = $300
For a bill of $1,000 or more, the minimum due is $500:
Since the credit limit is equal to $2000, we have $1000 ≤ x < $2000 and y = $500
In conclusion, the graph that correctly shows the minimum amount due for a credit amount (x) is graph B.
Read more on graphs here: brainly.com/question/16883029
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ANSWER
EXPLANATION
Given the exponential function,
Then the function
is stretched vertically by a factor of 'a' units, for a>0.
Based on this, if a=4 and
Then the equation of the new function is