Question

Sam has $2,450 in his bank account. He spends $20 each week on gas money. After how many weeks will sams account balance fall below $1000 in inequality form?

Answer 1

Answer:

• 2450 -20w < 1000
• 73 weeks

Step-by-step explanation:

The balance (b) in Sam's account will be the initial balance less 20 times the number of weeks (w) that he withdraws gas money.

  b = 2450 -20w

We want the inequality to express the condition that this balance is below 1000:

  b < 1000

  2450 -20w < 1000 . . . . . substitute for b

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The solution to this can be found by subtracting 2450, then dividing by -20.

  -20w < -1450

  w > 72.5

If weeks are counted in whole numbers, Sam's balance will be below $1000 after 73 weeks.