David requires at least $300 to hold his birthday party. If David can save $63 a month, how many months will he need to save to be able to afford his birthday party?
a. Write an inequality that describes this situation.
b. Solve the inequality. Show all your work.
c. Write your answer in a complete sentence.
a. To write an inequality that describes this situation, we need to compare the amount David can save per month with the minimum amount required for his birthday party. Let's call the number of months David needs to save "x", and the amount he can save per month "$63". The inequality can be written as:
"63x ≥ 300"
b. To solve the inequality "63x ≥ 300", we need to divide both sides by 63 to isolate x:
(63x)/63 ≥ 300/63
x ≥ 4.76
Since x represents the number of months, it can't be a fractional value. We need to round up to the nearest whole number, which in this case is 5 as it is the next largest whole number.
c. Therefore, David will need to save for at least 5 months to afford his birthday party.
63m >= 300
now solve for m as usual