1.
"The spending limit on John’s credit card is given by the function f(x)=15,000+1.5x"
means that if the monthly income of John is $ 5,000 ,he can spend at most
f(5,000)=15,000+1.5*5,000=15,000+ 7,500=22, 500 (dollars)
Or for example
if Johns monthly income is $8,000, then he can spend at most
f(8,000)=15,000+1.5*8,000=15,000+ 12,000=27,000 (dollars)
2.
Now, assume that the maximum amount that John can spend is y.
Then, y=15,000+1.5x
we can express x, the monthly income, in terms of y by isolating x:
y=15,000+1.5x
1.5x = y-15,000
X=y-15,000/1.5
thus, in functional notation, x, the monthly income, is a function , say g, of variable y, the max amount:
X=g(y) y-15000/1.5
since we generally use the letter x for the variable of a function, we write g again as:
G (x) x-15000/1.5
tells us that if the maximum amount that John can spend is 50,000 $, then his monthly income is 23,333 $.
3.
If John's limit is $60,000, his monthly income is
G(600,000)=60,000-15,000/ 1.5=45,000/1.5 =30,000
dollars.
Answer: $ 30,000
Remark: g is called the inverse function of f, since it undoes what f does.
instead of g(x), we could use the notation
Answer:
Step-by-step explanation:
- Two triangular ends
- Area of one = 1/2 b * h
- b =1.2
- h =0.9
- Area = 1/2 * 1.2 * 0.9 = 0.54 sq meters
- Area of 2 = 2 * 0.54 1.08
Area bottom
- L = 3.5 m
- w = 1.2
- Area = L * W
- Area = 3.5 * 1.2
- Area = 4.2
Area Back
- L = 3.5
- W = 0.9
- Area = 3.5 * 0.9
- Area = 3.15
Area Slanted piece
- L = 3.5
- w = 1.5
- Area = L * W
- Area = 3.5 * 1.5 = <u> 5.25</u>
Total = 5.25 + 3.15 + 4.2 + 1.08 = 13.68
14: 
56/8 = 7 so multiply 1/2 by 7/1 to get the unidentified fraction "x/y"
1/2 · 7/1 = 7/2 or 3 1/2
15. 
to get from 100 to 5, you would divide by 20, so to solve for x, multiply 2 by 20, to get a product of 40.
40/100 = 40% or D
16. 
A
