Question

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?​

Answer 1

Answer: 17 weeks

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

`y=1500-35x`

For y= 915, we have

`915=1500-35x`

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

`35x=585\\\\\Rightarrow\ x=(585)/(35) 16.7142857143\approx17`

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