Question

Max is planting fruit trees with 18 trees in each row. If he wants to have at most 342 trees, which inequality could he use to determine the number of rows (r) he should plant?

a. r < 18
b. r + 18 > 342
c. r - 18 > 342
d. r < 18(342)

Answer 1

Max should use the inequality r - 18 > 342 to determine the number of rows he should plant. This means Max should plant more than 19 rows of fruit trees.

Step-by-step explanation:

The correct inequality that Max should use to determine the number of rows (r) he should plant is option c. r - 18 > 342.

Here's the step-by-step explanation:

1. Let's assume that Max decides to plant 'r' rows of fruit trees.
2. Since there are 18 trees in each row, the total number of trees can be represented as 18r.
3. Max wants to have at most 342 trees, so we can write the inequality as 18r > 342.
4. To determine the number of rows, we need to isolate 'r' on one side of the inequality.
5. To isolate 'r', we subtract 18 from both sides of the inequality: 18r - 18 > 342 - 18.
6. Simplifying the equation, we get 18(r - 1) > 324.
7. Dividing both sides of the inequality by 18, we get r - 1 > 18.
8. Finally, adding 1 to both sides of the inequality, we get r > 19.

Therefore, the correct inequality is r - 18 > 342, which means Max should plant more than 19 rows of fruit trees.