Question

David requires at least $250 to hold his birthday party.If David can save $43 by the end of each month, how many months will he need to save to be able to affords his party?

a.Write an inequality that describes this situation.
b.Solve ye inequality. SHOW ALL YOUR WORK
c.write you answer in a complete sentence

Answer 1

Part a

x = number of months

43x = amount saved at $43 per month

43x ≥ 250 is the inequality

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Part b

43x ≥ 250

43x/43 ≥ 250/43

x ≥ 5.81395 approximately

Since x is a positive integer, the value 5.81395 rounds to 6

So it would be x ≥ 6

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Part c

He needs 6 months to be able to save at least $250.

Five months gets him 43x = 43*5 = 215 which is 35 dollars short of the goal of 250.

But 6 months gets him 43x = 43*6 = 258 which is 8 dollars over the goal of 250.