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:
x = 
Step-by-step explanation:
Given
3(x - 6) = 6 + 7, that is
3(x - 6) = 13 ← distribute parenthesis on the left side by 3
3x - 18 = 13 ( add 18 to both sides )
3x = 31 ( divide both sides by 3 )
x = 
answer : the BC is measure by 4, and also if you wanna add this the AB is measure by 3.
Step-by-step explanation:
Question 1:
Multiply the regular price by the number of people (x)
Y = 25x
Question 2:
Multiply the special rate by number of people(x) and add the cost of the room:
Y = 15x + 150
Question 3:
Replace x with a positive value and solve for y, which will be larger than the x value
Answer (15,375)
Question 4:
This means for 15 people the total cost for the special rate would be $375
Answer:
A i think
Step-by-step explanation: