Question

carla is sewing some clothing. she has 77 yards of fabric to use. she uses 10 yards of fabric to make a short - sleeved shirt and 15 yards of fabric to make a long - sleeved shirt. select the inequality in standard form that describes this situation. use the given numbers and the following variables. x = the number of short - sleeved shirts y = the number of long - sleeved shirts 10x + 15y ≤ 77 10x + 15y ≥ 77 15x + 10y ≤ 77 15x + 10y ≥ 77

Explanation:

Step1: Determine fabric usage per shirt

Short - sleeved shirts use 10 yards each, so for \(x\) shirts, fabric used is \(10x\) yards. Long - sleeved shirts use 15 yards each, so for \(y\) shirts, fabric used is \(15y\) yards.

Step2: Analyze total fabric available

Carla has 77 yards of fabric. The total fabric used (\(10x + 15y\)) must be less than or equal to the total fabric available (77 yards), so the inequality is \(10x+15y\leq77\).

Answer:

\(10x + 15y\leq77\) (the first option among the given inequalities)