Question

a small plane’s maximum takeoff weight is 2200 pounds or less. six passengers weigh an average of 150 pounds each.
a. use an inequality to find the luggage and cargo weight that the plane can carry.
b. explain the meaning of the answer to part a.
a. let x represent the weight of the luggage and cargo. the answer is {x | \square}.
(type an inequality.)
b. explain the meaning of the answer to part a. choose the correct answer below.
a. the luggage and cargo must weigh 2050 pounds or more.
b. the luggage and cargo must weigh 1300 pounds or more.
c. the luggage and cargo must weigh 2050 pounds or less.
d. the luggage and cargo must weigh 1300 pounds or less.

Explanation:

Step1: Calculate total passenger weight

Total passenger weight = $6 \times 150 = 900$ pounds

Step2: Set up weight inequality

Let $x$ = luggage/cargo weight. Total weight ≤ 2200:
$x + 900 \leq 2200$

Step3: Solve for x

$x \leq 2200 - 900$
$x \leq 1300$

Answer:

a. $\{x \mid x \leq 1300\}$
b. D. The luggage and cargo must weigh 1300 pounds or less.