Question

The daily upper limit for vitamin C is 2,000 milligrams. In the morning, Marcelo takes a vitamin containing 500 milligrams of vitamin C. An orange contains 100 milligrams of vitamin C. Let x be the number of oranges Marcelo can eat without reaching the daily limit for vitamin C. Choose the correct inequality.

Answer 1

Marcelo can eat up to 15 oranges in addition to his morning vitamin to stay within the daily upper limit of 2000 milligrams of vitamin C.

Step-by-step explanation:

To determine the number of oranges Marcelo can eat without reaching the daily vitamin C limit, we establish the inequality that accounts for the vitamin C in both the vitamin supplement and the oranges.

Marcelo already consumed 500mg from the vitamin, so we must add 100mg for each orange he eats without exceeding 2000mg total for the day.

Let x represent the number of oranges Marcelo can eat. The equation representing his total vitamin C intake would be 500mg + 100mg × x ≤ 2000mg. To find x, we solve the inequality:

100mg × x ≤ 2000mg - 500mg

100mg × x ≤ 1500mg

x ≤ 1500mg / 100mg

x ≤ 15

Thus, Marcelo can eat up to 15 oranges without exceeding the daily upper limit of vitamin C.

Answer 2

Answer: He can eat 14 oranges without reaching the daily limit if he already took the vitamin.