The choice of ≤ or ≥ is not trivial. To better understand this, consider the following...

The choice of ≤ or ≥ is not trivial. To better understand this, consider the following statement: Tom is sent to the store with $20 to buy soda and chips. Each bottle of soda costs $3 and each bag of chips costs $2. Let s = soda and c = chips. What would it mean if we wrote: 3s+2c≥20? Tom can spend up to $20. Tom has to spend at least $20.

Translate the following statements into inequalities. Be sure to label your variables.

-Tania has at most 8 hours to bake for her party. It takes 2 hours to make a cake and 1 hour to make cupcakes.

-Jack wants to start a pet shop consisting of dogs and cats. He is told that she will need at least 30 animals to start her shop. -

-Beatrice needs at least 1500 units of vitamin d per day. Her multi-vitamin provides 600 units and her calcium chews supplies 250 units.

Solutions

Expert Solution

(1)
Question:

. Each bottle of soda costs $3 and each bag of chips costs $2. Let s = soda and c = chips. What would it mean if we wrote: 3s+2c≥20?

Correct option:

. Tom has to spend at least $20.

(2)
Question:

-Tania has at most 8 hours to bake for her party. It takes 2 hours to make a cake and 1 hour to make cupcakes.

2x + y 8

where x = cake y = cupcake

(3)

Question:

Jack wants to start a pet shop consisting of dogs and cats. He is told that she will need at least 30 animals to start her shop. -

x + y 30

where x = dogs y = cats

(4)

Question:

-Beatrice needs at least 1500 units of vitamin d per day. Her multi-vitamin provides 600 units and her calcium chews supplies 250 units.

600 x + 250 y 1500

where x = multi-vitamin y = calcium chews

orchestra answered 1 year ago

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