Answer:
1/35
Step-by-step explanation:
Number of students born in a country other than the United States = 1/20
Also, 4/7 of 1/20 were born in Puerto Rico
Portion of the student body born in Puerto Rico is therefore = 4/7 of 1/20
4/7 x 1/20
Multiply through
4/140
1/35
The given function can also be written in the
form:
f (x) = 15 (1 + 1)^x
Where this equation is similar to the general
growth rate equation:
f (x) = k (1 + i)^n
Where,
i = percent rate of growth
n = number of years
Since we want to set that n = x/2, therefore we
need to find the new i. We can do this by equating the two:
<span>(1 + i)^x/2 = (2)^x</span>
Multiplying the exponents of both sides by 1/x:
(1 + i)^1/2 = 2
1 + i = 4
i = 3
Therefore the new equation is:
f (x) = 15 (4)^(x/2)
or
<span>f (x) = 15 (2^2)^(x/2) (ANSWER)</span>
<span> </span>
Answer:
see below
Step-by-step explanation:
Number of workers (x) 0 10 20 30 40 50 60 70 80 90
Number of units (y) 2 52 102 152 202 252 302 352 402 452
Part A
There is a correlation
For each increase of 10 in x, there is an increase of 50 in y
10 10 10 10 10 10 10 10 10
Number of workers (x) 0 10 20 30 40 50 60 70 80 90
Number of units (y) 2 52 102 152 202 252 302 352 402 452
50 50 50 50 50 50 50 50 50
Part B
m = (y2-y1)/(x2-x1)
= (452-402) /( 90-80) = 50/10 = 5
The y intercept is the value of y when x =0
The y intercept is 2
The slope intercept form of the the line is
y = mx+b
y = 5x+2
PartC
The y intercept is that we start with 2 of the units and for each worker gained, they will make 5 units per day
A. Let x represent the number of miles and y represent the total price.
y=3x+15
B. Using the equation we just wrote, replace the x with 45.
y=3(45)+15
Now multiply 45 by 3.
y=135+15
And finally add together 135 and 15.
y=150
The total cost of a 45 mile taxi ride would be $150.00.
Answer:
y = -2x - 4
Step-by-step explanation:
y - 2 = -2 (x + 3)
y - 2 = -2x - 6
y = -2x - 4