Question

Emilia pays $24 to rent a boat at the lake for up to 6 hours. She constructs the inequality and number line below to represent the number of hours, s, she can use the boat. Emilia's Model x=6 02 4 6 8 10 12 14 Are Emilia's inequality and number line correct? Explain your reasoning by completing the statements. Click the arrows to choose an answer from each menu. Emilia's inequality, I < 6 is Choose... because the number of hours is Choose... Emilia's number line is Choose... . The endpoint Choose... filled in and the number line Choose... of the endpoint​

Answer 1

Answer: emilias inequality x<6 is correct because the number of hours is less than or equal to six. emilias Number line is correct. the endpoint is correctly filled in and the number line should be shaded to the left of the endpoint.

Explanation:

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Answer 2

Given :-

Given :- Emilia pays $24 to rent a boat at the lake for up to 6 hours. She constructs the inequality and number line below to represent the number of hours .

Answer:

→ Emilia inequality for x number of hours = x ≤ 6 .

since, she pays $24 for upto 6 hours , she can use boat from 0 hours to maximum 6 hours .

therefore, Emilia's inequality x ≤ 6 is correct because the number of hours is less than or equal to 6 .

now, from image, we can see that, Emilia uses number line from 0 hours to 14 hours in number line .

But correct number should be from 0 hours to 1,2,3,4,5 and 6 hours only .

therefore, Emilia's number line is incorrect . The endpoint is filled in and the number line is greater than the endpoint.

Explanation: