Question

Emily 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, x, she can use the boat. ​

Answer 1

Emily's inequality x < 6 is correct because the number of hours is less than or equal to.

Emily's number line is incorrect The endpoint is filled in and the number line is greater than the endpoint.

Explanation:

Emily's Model:

x < 6

<----|----|----|----|----|----⊕----|----|----|----|----|----|----|----|---->

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What Emily's model should look like to make the number line true:

x < 6

<----|----|----|----|----|----О----|----|----|----|----|----|----|----|---->

1 2 3 4 5 6 7 8 9 10 11 12 13 14