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:
Step-by-step explanation:
We have been given a table to voters and their ages. We are asked to find the probability that a voter is younger than 45.
Voting age Voters
17-29 9
30-44 8
45-64 32
65+ 15
We can see from our given table that age of 17 (9+8) voters is between 17 to 44 years.
To find the probability that a voter is younger than 45, we will divide 17 by total number of voters.
Therefore, the probability that a voter is younger than 45 is 0.27.
6. (5y+2)+14x=5y+(2+14x) (1point) A.associative property of addition B.associative property of multiplication C.commutative property of addition D.commutative property of multiplication 7. (m*n)*p=m*(n*p) (1 point) A. commutative property of addition B.commutative property of multiplication C.associative property of addition D. associative property of multiplication
The answer is EGH and EFG
Answer:
4, 10
Step-by-step explanation:
The value for the third side of the triangle is given by
b-a < n < b+a where a and b are the two other sides of the triangle and b>a
7-4 < n < 7+4
3 < n < 11
Since n is an integer
4 would be the smallest value and 10 would be the largest
