Question

Write the linear inequality in standard form for this situation: In order to raise money to attend upcoming competitions, the Math Pentathlon team is selling apple cider and hot chocolate. They hope to make at least $240 by selling hot chocolate for $1 a glass and hot apple cider for $2 a glass

A x+2y>240
B x+2y≤240
C x+2y≥240
D x+2y<240​

Answer 1

x+ 2y ≥ 240 is the linear inequality in standard form for this situation.

Explanation:

Let the number of hot chocolates sold = x

Cost of each hot chocolate = $1

Let the number of apple ciders sold = y

Cost of each hot chocolate = $2

So, the total amount earned = x ( $1) + y ($2)

Also, the total amount earned should at least be $240

Hence, according to the question

x+ 2y ≥ 240 is the linear inequality in standard form for this situation.