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 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

Option B: $40\leq x\leq 100$

Explanation:

Let the variable x denotes the number of cakes.

Shiloh has to earn $200 to meet her goal. So, she plans to sell her cakes at $5 each. The expression that represents this situation is given by

$5x=200$⇒$x=40$

The minimum number of cakes that shilok has to sell to earn $200 is 40 cakes.

The maximum number of cakes are 100

Thus, the inequality that the number of cakes, Shilok can sell to meet her goal is $40\leq x\leq 100$