Question

Which of the following word problems can be solved using the inequality 4x+16_>48
? Select all that apply.
A.
Duane has a collection of 16 postage stamps. He will collect 4 new stamps each month. How many months, x, will it take Duane for his stamp collection to have 48 or more postage stamps?

B.
Jaclyn wants to save at least $48 to buy a new video game. She has $16 and will save $4 every week. How many weeks, x, will it take Jaclyn to save up enough money to buy the video game?

C.
Kristen is sending a package. She wants the package to have a maximum weight of 48 ounces. If the package already weighs 16 ounces, how many 4–ounce ornaments, x, can Kristen place in the package?

D.
Inez is on a game show. She currently has 16 points. If she receives 4 points for correctly answering a question, how many additional questions, x, must she answer for her score to be greater than or equal to 48 points?

Answer 1

A, B, and D.

Reason:
- A: 16 + 4x ≥ 48 fits (stamps after x months).
- B: 16 + 4x ≥ 48 fits (dollars after x weeks).
- D: 16 + 4x ≥ 48 fits (points after x correct answers).
- C does not: it needs 16 + 4x ≤ 48 (maximum weight), not ≥.

(If solved, 16 + 4x ≥ 48 gives x ≥ 8.)