The amount a pool repairman charges for each job is represented by the function p=65h+45, where h represents the number of hours he spent on the job, and p represents the total amount he charges in dollars for the job. The repairman plans to change the amount he charges for each job represented by the function p=75h+45.
What will be the effect of this change on the amount he charges for each job?

A. The amount he charges per hour will increase by $10.
B. The amount he charges for each job will decrease by $10.
C. The amount he charges per hour will decrease by $10.
D. The amount he charges for each job will increase by $10.

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: