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:
The absolute value equation to represent the scenario is |x - 250| = 25. Also, the minimum amounts and maximum amounts that the artist received for her products is $225 and $275 respectively.
What is an equation?
An equation is an expression that shows the relationship between two or more variables and numbers.
Let x represent the amount the artist can receive for the goods, hence:
|x - 250| = 25
x - 250 = 25 or -(x - 250) = 25
x = 275 or x = 225
The absolute value equation to represent the scenario is |x - 250| = 25. Also, the minimum amounts and maximum amounts that the artist received for her products is $225 and $275 respectively.
m =( Y2 - Y1)/ (X2-X1)
m =( 3-(-5))/ (-6-3)
m = - 8/9
I am assuming you meant a slope of 9/8 in your original question, so the points perpendicular to I are answer D.
Perpendicular means the slope is opposite reciprocal of your first slope given.
Answer:
56 cm
Step-by-step explanation:
The ratio of the lengths of the pieces is 3:4.
The longer piece is 32 cm.
We set up a proportion to find the length of the smaller piece.
Let the length of the smaller piece be x.
3 is to 4 as x is to 32
3/4 = x/32
4x = 3 * 32
4x = 96
x = 24
The smaller piece is 24 cm.
24 cm + 32 cm = 56 cm
20÷10= 2
50÷10= 5
ratio is2:5
