Question

Big Al's Tires and Oil expects profits from its oil division to be $18,000 next month. The tires that they sell cost $60 per tire and are sold for approximately $90 each. Which inequality shows how many tires Big Al's must sell in order to have a total profit of at least $24,000?

A. (18,000 + 90x ≥ 24,000)
B. (18,000 ≥ 24,000 30x)
C. (18,000 ≥ 24,000 + 90x 30x)
D. (18,000 + 60x ≥ 24,000)

Answer 1

To have a total profit of at least $24,000, at least 67 tires need to be sold. The inequality that shows how many tires Big Al's must sell is option A (18,000 + 90x ≥ 24,000).

Step-by-step explanation:

The inequality that shows how many tires Big Al's must sell in order to have a total profit of at least $24,000 is:

(18,000 + 90x ≥ 24,000)

To find the minimum number of tires, x, that need to be sold, we set up the equation:

18,000 + 90x ≥ 24,000

Subtracting 18,000 from both sides:

90x ≥ 6,000

Dividing both sides by 90:

x ≥ 66.67

Since we can't sell a fraction of a tire, we round up to the nearest whole number:

The minimum number of tires that need to be sold is 67.