The inequality representing the possible number of party hats (x) Kimani ordered from Party Plus is x>20. This means Kimani ordered more than 20 party hats to spend over $40, given the assumed minimum cost per hat from Party Plus.
Let's denote the number of party hats Kimani ordered from Party Plus as x. Now, if each party hat costs a certain amount, and Kimani spent over $40, we can set up an inequality to represent this situation.
Let be the cost of each party hat. The total cost (T) is given by multiplying the number of hats (x) by the cost per hat (c). Therefore, T=xc.
The problem states that Kimani spent over $40, so we can express this as an inequality: T>40
Now, substitute the expression for T in terms of x and xc>40
Since we are specifically looking at the scenario where Kimani ordered the hats from Party Plus, let's assume that each hat costs at least $2 (as a hypothetical example). So, c≥2. Now, substitute
c≥2 into the inequality:
x⋅2>40
Simplify the inequality:
2x>40
Now, divide both sides by 2 to solve for x>20.