ulia is hanging a bookcase on the wall that holds her digital video disc (DVD) collection where each DVD in its case weighs the same. The weight of the bookcase with 10 DVDs is 30.4 pounds, and the weight of the bookcase with 45 DVDs is 38.8 pounds. If the anchors holding the bookcase can support up to 100 pounds, how many DVDs can the bookcase hold?(1 point) Responses 416 416 200 200 300 300 100 100
By subtracting the weight of the bookcase without any DVDs from the weight of the bookcase with DVDs, we find that the weight of 1 DVD is 3.84 pounds (38.8 - 30.4 = 8.4; 8.4 / 45 = 0.186; 0.186 * 20 = 3.84).
To find the maximum number of DVDs the bookcase can hold without exceeding the weight limit, we divide the maximum weight limit by the weight of 1 DVD. Therefore, the bookcase can hold a maximum of 26 DVDs (100 / 3.84 = 26).
Therefore, the correct answer is 26 DVDs.