Write and solve an equation to represent the given situation.Be sure to define your variable.
Samantha currently has $1500 in the bank and is spending $35 per week.How many weeks will it take until her account is worthy only $915?​

Respuesta :

Answer: 17 weeks

Step-by-step explanation:

Let x= Number of week.

y= balance amount in account

Given :  Samantha currently has $1500 in the bank and is spending $35 per week.

Rate of spending =  $35 per week

Spending in x weeks = $35x

As per the given statement , the required equation will be :-

Balance Amount = Current amount - Rate of spending x Number of week

[tex]y=1500-35x[/tex]

For y= 915, we have

[tex]915=1500-35x[/tex]

Subtract 915 from both sides and 35x to both the sides , we get

[tex]35x=585\\\\\Rightarrow\ x=\dfrac{585}{35} 16.7142857143\approx17[/tex]

Hence, it will take 17 weeks until her account is worthy only $915.

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