Jason's math teacher finds that there's roughly a linear relationship between the amount of time students spend on their homework and their weekly quizscores. This relationship can be represented by the equation y = 6.7x + 58,
where y represents the expected quiz score and a represents hours spent on
homework that week. What could the number 6.7 represent in the equation?
O How many hours a student spends studying all year.
O A student's expected quiz score if they spent 1 hour on their homework.
A student's expected quiz score if they spent 64.7 hours on their
homework
The change in expected quiz score for every additional one hour
students spend on their homework.

(x, y)→(x − 8, y − 7)

step-by-step explanation:

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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: