Any linear function is of the form y=mx+b
Here m is slope and b is y intercept.
Slope is difference in y divided by different in x values .
In the question for 5 persons cost is $100 and for 10 persons cost is $162.50
So the points are (5,100) and (10,162.50)
Slope m=
=12.50
We can find the value of b by taking m=12.50 and (x,y)=(5,100)
Substitute these values in y=mx+b
100=12.50(5)+b
100=62.50+b
Subtracting 62.50 both sides
b=100-62.50
b=37.5
a) Put m=12.50 and b=37.50 to get the equation
y=12.50x+37.50
b)Rate of change is the m value or the slope of the function.
Initial value that is (5,100) gives us one of the points to find the rate of change.
Answer:$3
Step-by-step explanation:
You always divide y by x. In this case 6/2 when you set up a chart. When you do this you get $3 unit rate.
1 (unit rate) 2
___________=_____
x (unit rate price) 6
Use cross products
1(6)=x(2)
6=2x
_____
2 2
x=3
Answer:
A yes
B yes
C No
D No
Step-by-step explanation:
If it is a function then the first number in the ordered pair is use only one time.
Step-by-step explanation:
(x-2)^3 = x^3-6x^2+12x-8
-(x^3-6x^2+12x-8)=
-x^3+6x^2-12x+8
-x^3+6x^2-12x+8 -5=
y=-x^3+6x^2-12x+3
I attached the picture
Answer:
its 2 inches
Step-by-step explanation:
0.5 * 16= 4 * x
8 = 4x
x = 2