1. A packing box with a height of 15 inches needs to contain more than 2,520 in³. How would you model this situation with an inequality to show the possible area, b, of the base of the box?
A)2,520 ≥ 15b
B)2,520 ≤ 15b
C)2,520 > 15b
D)2,520 < 15b
2. The base of a parallelogram is 0.7 m. The area must be no more than 0.63 m². How would you write an inequality to show the possible height of the parallelogram?
A)0.63 > 0.7h
B)0.7 ≥ 0.63h
C)0.7 > 0.63h
D)0.63 > 0.7h
3. An illustration shows a labeled parallelogram. The lines on the top on the right and left sides extend past where the parallelogram ends. The left side is labeled Maple Street. The right side is labeled Oak Street. The base measures 45 meters. The label A is greater than 2,700 meters squared is placed inside of the parallelogram. A perpendicular dashed line is drawn from the top to bottom right corner and is labeled h. A park is being laid out in the shape of a parallelogram between Maple and Oak Streets, which are 45 meters apart. The park must have an area of at least 2,700 m². What is the solution of an inequality for the possible value of h, the height of the parallelogram?
A) h > 60 m
B)h < 60 m
C)h ≥ 60 m
D)h ≤ 60 m
4. A pillbox with a height of 1/2 inch needs to have a volume greater than 2 in³. What is the solution of an inequality describing the possible area of the base, b?
A)b > 1 in²
B)b > 1 1/2 in²
C)b > 4 in²
D)b > 2 1/2 in²
5. A postage stamp is being designed with a height of 1 1/2 inches. The area must be no greater than 1 1/8 in². What is the solution to an inequality that describes the possible width of the stamp?
A)w ≤ 2 5/8 in
B)w ≤ 3/8 in
C)w ≤ 3/4 in
D)w < 3/4 in
A)2,520 ≥ 15b
C)0.7 > 0.63h
B)h < 60 m
D)b > 2 1/2 in²
C)w ≤ 3/4 in