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.
[tex]\frac{\$200}{\$5} = 40 \: cakes[/tex]
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.
