Question

Josie's garden has already produced 15 vegetables. Each week, this amount increases by 4. Once Josie's garden is producing more than 49 vegetables per week, she can begin selling them at the farmer's market. Write an inequality that represents this situation. Then, determine which week Josie will be able to sell her produce.

(A) 15 + 4w > 49, w > 8
(B) 15 + 4w >= 49, w >= 8
(C) 15 + 4w < 49, w < 8
(D) 15 + 4w <= 49, w <= 8

Answer 1

The inequality that represents the situation is 15 + 4w > 49. Josie will be able to sell her produce in week 9.

Step-by-step explanation:

The inequality that represents the situation is 15 + 4w > 49, which means the number of vegetables produced in a week is greater than 49. Solving this inequality, we subtract 15 from both sides to isolate the variable w, giving us 4w > 34. Then, we divide both sides by 4 to solve for w, resulting in w > 8.5. Since we can't have a fractional number of weeks, we round up to the nearest whole number, so Josie will be able to sell her produce in week 9.