Question bank / Linear inequalities in one or two variables

Math · AlgebraEasy

A delivery van can carry at most 2,0002{,}000 pounds, including the driver. The driver weighs 180180 pounds, and each box weighs 3535 pounds. Which inequality represents the possible numbers of boxes, bb, the van can carry with the driver?

A

35b+180≤2,00035b + 180 \le 2{,}000

B

35b+180≥2,00035b + 180 \ge 2{,}000

C

35b≤2,000+18035b \le 2{,}000 + 180

D

180b+35≤2,000180b + 35 \le 2{,}000

Show answer and explanation

Answer: A

The total weight is the boxes, 35b35b, plus the driver, 180. 'At most' means less than or equal to, so 35b+180≤2,00035b + 180 \le 2{,}000.

Choice B reverses the inequality; 'at most' means the total cannot exceed 2,000.

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