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.

given that 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
let y be the pound of jelly beans x be the money she spend on jelly beans
x + 4 >= 8y >= 2x

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eudora eudora · Answer 2 · 2019-08-24T17:42:48+02:00

Answer:

Step-by-step explanation:

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.