1 is only "partly" correct. For large values of days #1 would not be correct because you would have already paid off the entire debt.
What do you think of 2, 3 and 4?
a owes $75. She plans on paying back her debt at $3 per day. The amount she owes after a given number of days can be represented by y=3x−75.
Which of the following correctly analyzes the domain of this situation?
1) The domain represents time, in days, and since time has to be greater than or equal to 0, x≥0.
2)Since there are no restrictions placed on the values of x, the domain is all real numbers.
3)The domain represents the amount owed and since this value has to be less than or equal to 75, x≤75.
4)Since 3x−75 has to be greater than 0, the value of x has to be greater than 25, or x>25.
I chose the answer 1. Is that correct?
2 answers
I know it's not 3 because 75 is already in the equation(the amount owed)
I'm not sure about 4 because I have no idea where they go 25
But 2 looks but doesn't look correct because there are a set restrictions on x because x can not be a negative, but it can be all real numbers.
I'm not sure about 4 because I have no idea where they go 25
But 2 looks but doesn't look correct because there are a set restrictions on x because x can not be a negative, but it can be all real numbers.