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:
The length of the strip of fabric is 32 inches.
Step-by-step explanation:
Consider the provided information.
The length of the edges of the square pillow should be 8 inches.
She needs a strip of fabric four times as long as one of the pillow to make a border around the pillow.
The length of the strip of fabric = 4×8 inches
The length of the strip of fabric = 32 inches
Hence, the length of the strip of fabric is 32 inches.
Answer:
y = 
Step-by-step explanation:
a) Let Area be the independent variable and Price of the homes sold be dependent on the area.
Let x represents the area and y represents the price.
We will plot the data in excel using trend line function.
The model so obtained is:
y =
Rounding values to the nearest hundredth, we get
y =
Answer:
Step-by-step explanation:
x²+y²=r²
r²=12
r=√12=2√3
