Mathematics
Grade6
Easy
Question
Identify the inequality statement for the following,
Hector's dinner at a restaurant costs $17.40. He plans to leave a tip that is at least 15% of the cost by no more than 20%. T represents the tip. What amounts could Hector leave for a tip?
- t is greater than 2.61 and less than 3.48
- t is greater than or equal to 2.61 and less than or equal to 3.48
- t is less than 2.61 and greater than 3.48
- t is less than or equal to 2.61 and greater than or equal to 3.48
Hint:
We simply calculate 15% and 20% of 17.40 and then write the inequality as asked.
The correct answer is: t is greater than or equal to 2.61 and less than or equal to 3.48
Step 1 of 2:
Hector's dinner at a restaurant costs $17.40
15% of the cost $17.40 = 17.40
= $2.61
20% of the cost $17.40 = 17.40
= $3.48
Step 2 of 2:
He plans to leave a tip that is at least 15% of the cost by no more than 20%
If T represents the tip, then T could be at least $2.61, viz., T > 2.61 by no more than $3.48, viz., T < 3.48
Hence, the combined inequality can be written as 2.61 < T < 3.48
Final Answer:
The correct choice is-- b. t is greater than or equal to 2.61 and less than or equal to 3.48
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