Linear inequalities in one or two variables

Hard Math · Algebra · Linear inequalities in one or two variables · MCQ

A shipping service restricts the dimensions of the boxes it will ship for a certain type of service. The restriction states that for boxes shaped like rectangular prisms, the sum of the perimeter of the base of the box and the height of the box cannot exceed 130 inches. The perimeter of the base is determined using the width and length of the box. If a box has a height of 60 inches and its length is 2.5 times the width, which inequality shows the allowable width x, in inches, of the box?

A
$zero is less than x, which is less than or equal to 10$
B
$zero is less than x, which is less than or equal to 11 and two-thirds$
C
$zero is less than x, which is less than or equal to 17 and one-half$
D
$zero is less than x, which is less than or equal to 20$

Source: SAT practice questions © College Board, from the official SAT Suite Question Bank. Retrieved via the community dump at github.com/mdn522/sat-question-bank. View the official question bank →

SAT® and PSAT/NMSQT® are trademarks registered by the College Board, which is not affiliated with, does not sponsor, and does not endorse this project.

id cb_question_bank:aea9b7cb-4f3a-4f26-aca9-6b28f92dc517 · question 963da34c · IBN 05385-DC · JSON