Question

Shiloh has to earn at least $200 to meet her fundraising goal. She has only 100 cakes that she plans to sell at 5 dollars each. Which inequality shows the number of cakes, x, Shiloh can sell to meet her goal?. A) 20 ≤ x ≤ 200. B) 40 ≤ x ≤ 100. C) 100 ≤ x ≤ 200. D) 20 ≤ x ≤ 100.

Answer 1

Shiloh wants to earn at least $200. That means the number of cakes, x, that she sells has to earn her at least $200. For the inequality, the want number the least number of cakes possible to earn her $200 on the left side of ≤ and the most cakes possible she can sell on the right side of ≤. 

Calculate the least amount of cakes she can sell to make $200. To do this, divide $200 by $5, since each cake is selling for $5.
$\frac{\ 200}{\ 5} = 40 \: cakes$

That means she has to sell at least 40 cakes to meet her goal. That number, 40, goes to the left of ≤. Since she has 100 cakes to sell, 100 goes to the right of ≤. x can fall between 40 and 100, including both numbers, making your inequality 40 ≤ x ≤ 100. 

The answer is B) 40 ≤ x ≤ 100.