Question

Write an inequality for each situation.

a.
Yiska has 56 photographs left to scan. If she can scan 6 more photographs per minute, in how many minutes will she have less than 20 left to scan?

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b.
Erin has a $450 gift card from a clothing store. She has spent a total of $28 so far. She wants to buy barrettes for $2.95 each. How many barrettes can she buy without going over the limit of the card?

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13.
What words in a real-world problem indicate that it will be represented by an inequality rather than by an equation? Explain

Answer 1

A. 56-6m<20

B. 2.95b+28<450

13. Less than, greater than, going over or not going over.

Explanation:

A. The answer to the first question can be simple. If she can scan 6 photographs per minute, then we would write the inequality 56-6m<20, since we are subtracting 6 from 56 every minute, we would write 6 per minute as 6m, and subtract that from 56. Lastly, since it says less than, we need to put the less than symbol, the mouth facing towards the 20 as the greater number.

B. If she has spent 28, that means that we put -28 on the equation as a constant. Then, we put the price times the number of batteries she bought, or 2.95b, and put a less than symbol, since we want to spend less than the 450 gift card. So the equation would be 2.95b+28<450

13. Key words to indicate inequalities can be less than, greater than, without going over, going over.

Hope this helps! :D