Answer:
option: C is correct.
Step-by-step explanation:
since, we are given a parent function f(x) as: f(x)=x.
We are asked to find what change will occur in the function when the parent function f(x) is replaced by f(9x).
let g(x) be the function formed by replacing f(x) with f(9x) i.e.
g(x)=f(9x)=9x.
clearly the slope of the function g(x)=f(9x) is 9. ( since on comparing the equation with the slope intercept form y=mx+c; where m is the slope of the line and c is the y- intercept).
whereas the slope of the function f(x)=x is 1.
Hence there is an increment of slope by a factor of 9.
Hence, option C is correct.
Given:
Guests at an amusement park must be at least 54 inches tall to be able to ride the roller coaster.
To find:
The graph that represents the set of heights that satisfy this requirement.
Solution:
Let x be the height required for the ride.
Guests must be at least 54 inches tall to be able to ride the roller coaster. It means required height is greater than or equal to 54.

So, 54 and all values above 54 are in the solution set.
Since, 54 is included in the solution set, therefore there is a closed circle at 54. All values above 54 are in the solution set, so everything to the right of the circle is shaded.
Therefore, the correct option is C.
Answer:
C.
Step-by-step explanation:
Combine the like terms:
3 - 12t + 8t = 3 - 4t
simplified answer is
-4t + 3