Question

ninety stadiums or more
translate the verbal phrase. choose the correct answer below
a. ( n = 90, \frac{181}{2}, 91, \frac{183}{2}, 92, \frac{185}{2}, 93, dots )
b. ( n = 90, 91, 92, 93, dots )
c. ( n = 1, 2, 3, dots, 90 )
d. ( n = 0, 1, 2, 3, dots, 90 )
interpret the phrase. choose the correct answer below
a. there could be a minimum of ninety stadiums, and there is no limit on the maximum number of stadiums. stadiums cannot be represented with a fractional number
b. there could be zero, one, two, three, ... up to ninety stadiums. stadiums cannot be represented with a fractional number.
c. there could be one, two, three, ... up to ninety stadiums. stadiums cannot be represented with a fractional number.
d. there could be ninety stadiums, ninety and a half stadiums, and so on. stadiums can be represented with a fractional number.

Explanation:

For the translation of "Ninety stadiums or more":

• Option A shows fractional values which don't make sense for stadiums (can't have a fraction of a stadium), so A is wrong.
• Option B: \( n = 90, 91, 92, 93, \dots \) means the number of stadiums is at least 90 (since it starts at 90 and goes on, no upper limit), and stadiums are whole numbers (can't be fractional). This matches "ninety or more".
• Option C: \( n = 1,2,3,\dots,90 \) is up to 90, not 90 or more, so C is wrong.
• Option D: \( n = 0,1,2,\dots,90 \) includes 0 and up to 90, not 90 or more, so D is wrong.

For the interpretation:

• Option A: "minimum of ninety, no max, not fractional" matches \( n = 90,91,92,\dots \) (since it starts at 90 and continues, and stadiums are whole numbers).
• Option B: "zero, one, two... up to ninety" is up to 90, not 90 or more, so B is wrong.
• Option C: "one, two... up to ninety" is up to 90, not 90 or more, so C is wrong.
• Option D: Says stadiums can be fractional, which is wrong (you can't have a fraction of a stadium), and also misinterprets the "or more" part.

Answer:

Translation: B. \( n = 90, 91, 92, 93, \dots \)
Interpretation: A. There could be a minimum of ninety stadiums, and there is no limit on the maximum number of stadiums. Stadiums cannot be represented with a fractional number