Question

translate the verbal phrase and interpret, letting n represent the value(s)
four lemons or less

translate the verbal phrase. choose the correct answer below

a. n = 1,2,3,4
b. n = 4,5,6,7
c. n = 0,1,2,3,4
d. n = -4, -3, -2, -1, 0

interpret the phrase. choose the correct answer below

a. there can be a negative number of lemons. there could be negative four, negative three, negative two, negative one, or zero lemons. lemons cannot be represented with a fractional number
b. there cannot be a negative number of lemons. there could be one, two, three, or four lemons. lemons cannot be represented with a fractional number
c. there cannot be a negative number of lemons. there could be zero, one, two, three, or four lemons. lemons cannot be represented with a fractional number
d. there cannot be a negative number of lemons. there could be a maximum of four lemons, and there is no limit on the minimum number of lemons. lemons cannot be represented with a fractional number

Explanation:

Step1: Analyze the verbal phrase "Four lemons or less"

"Four lemons or less" means the number of lemons \( n \) can be 0, 1, 2, 3, or 4 (since you can't have a negative number of lemons). So we check the options for the translation:

• Option A: \( n = 1,2,3,4 \) misses 0, so incorrect.
• Option B: \( n = 4,5,6,7 \) is more than 4, incorrect.
• Option C: \( n = 0,1,2,3,4 \) matches "four or less" (including 0), correct.
• Option D: Negative numbers don't make sense for lemons, incorrect.

Step2: Analyze the interpretation

Now for the interpretation:

• Option A: Talks about negative lemons, which is impossible, so incorrect.
• Option B: Says "one, two, three, or four" but misses 0, incorrect.
• Option C: States no negative lemons, and possible numbers 0 - 4, which matches "four or less" (including 0), correct.
• Option D: Says no lower limit, but "four or less" implies a maximum of 4, and 0 is the minimum (since you can't have negative), so D is incorrect.

Answer:

Translation: C. \( n = 0,1,2,3,4 \)

Interpretation: C. There cannot be a negative number of lemons. There could be zero, one, two, three, or four lemons. Lemons cannot be represented with a fractional number.