Question

Tonya is staring a jewelry business. She is going to sell b bracelets for $12.50 each and n necklaces for $22.50. Tonya wants to make at least $800 a month. Which inequality below models this situation? A 12.50n +22.50b≥80012.50n\ +22.50b\geq 80012.50n +22.50b≥800 B 12.50b+22.50n≤80012.50b+22.50n\leq 80012.50b+22.50n≤800 C 12.50b+22.50n≥80012.50b+22.50n\geq 80012.50b+22.50n≥800 D 12.50n+22.50b≤80012.50n+22.50b\leq 80012.50n+22.50b≤800

Answer 1

C 12.50b+22.50n≥800

Explanation:

Tonya is staring a jewelry business. She is going to sell b bracelets for $12.50 each and n necklaces for $22.50. Tonya wants to make at least $800 a month.

When we use the word at least in Mathematics is means that it is equal to or more than $800.

It is represented by the symbol ≥

Number of bracelets = b

Number of necklaces = n

Therefore, the inequality below models this situation is given as:

$12.50 × b + $22.50 × n ≥ $800

= 12.50b + 22.50n ≥ 800

Option C is correct.