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​

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 .

→ 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.

Step-by-step explanation:

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step-by-step explanation:

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation: