Liam is reading a 254-page book for school. he can read 40 pages in one hour. the equation for the number of pages he has left to read is y=254-40x, where x is the number of hours he reads.
a. state the slope and the y-intercept of the graph of the equation.
b. graph the equation.
c. interpret what the slope and the y-intercept represent.

THe y intersect is 240.

The slope would be -40

Step-by-step explanation:

In order to solve this problem you just hve to remember that the y form of the function is: 7=mx+b

m is the slope of the function, and the m is -40

Then the intersect with the y axis is calculated by setting in the function a value for x as 0, when x is 0, Y is 240. In the formula of the function the intersect is equal to B and M is equal to the number by which x is being multiplied.

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: