Cindy has $20 to spend at the store. she buys a pack of colored pencils that cost $4 and jelly beans that cost $2 per pound. if she spends more than $8 at the store, graph a compound inequality that shows the possible number of pounds of jelly beans she could have purchased.
let y be the pound of jelly beans x be the money she spend on jelly beans
x + 4 >= 8y >= 2x
Cindy has $20 to spend at a store.
Let the number of packs of the pencils which cost $4, she bought = $4x
And the number of jelly beans that cost $2 per pound = $2y
Now total cost of both = 4x + 2y
Now we know Cindy has $20 to spend so the inequality will be
4x + 2y > 8
Now we divide this inequality by 2
2x + y > 4
Or y > (4 - 2x)
Therefore, inequality which represents the possible number of pounds of jelly beans is y > 4 - 2x
Now we can graph a dotted line y = 4 - 2x by plugging in the values of x and y.
Since inequality is showing a notation of greater than therefore, area above the line will represent the compound inequality.
-50/3 is the final answer! : )