Write the in independent variable and the dependent and an equation 1) To fix a car, Fix-it Auto charges a base fee of $20 plus $40 per hour.

2) The cost of a banquet at Jean’s Banquet Hall is $450 for the rental of the hall and $15 per guest.

3) An author earns a royalty of $1.25 for each book sold.

4) Marie has $500 in her bank account. Each week she plans to deposit $20.

5) Paul has $1500 in his bank account. Each week he withdraws $100.

6) The cost to cut a lawn is a flat fee of $5 plus $6.50 per hour.

7) The charge to walk a dog is $10/hour.

8) Hans Building supplies sells sand for $19/ton plus $25 for delivery.

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:

the equation of the parallel line would be y = 2x + 9

step-by-step explanation:

to start we need to find the slope of the original line. we can do that by looking at the coefficient of x, which is 2

since the slope of the original line is 2 and parallel lines have the same slope, we know the new line will also have 2 slope. now we can use that along with the point given in point-slope form to get the find equation.

y - y1 = m(x - x1)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

y = 2x + 9

d

step-by-step explanation: