Joshua has $400 in his account and withdraws $25 each month. How much will be left in his account after 6 months? what's the independent and dependent variables. Is it a function? what is the domain and range?
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Answered by
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Answer:
money in account =$400
withdraw money =$25
6months withdrawal =$25x6=$300
remaining balance =$100
Answered by
1
There will be $250 left after 6 months.
Independent variable is number of months (m) and the dependent variable is balance remaining (R).
Domain = [0,16] and Range = [0,400]
Step-by-step explanation:
If we consider the amount of money left in Joshua's account (R) as the dependent variable and it depends on the number of months passed (m).
So, from the given condition we can write the equation
R = 400 - 25m ......... (1)
Now, after m = 6 months, from equation (1) we ger,
R = 400 - 25 × 6 = 250
So, there will be $250 left after 6 months.
Now, the range of the function i.e. the value of R can vary from $0 to $400, as the balance can not be negative.
For, R = $0, from equation (1) we get,
m = 400/25 = 16
Therefore, the domain i.e. the value of m can vary from 0 to 16 months. (Answer)
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