How do I identify the rate of change on a linear function?

Mathematics

2 answers:

artcher [175]3 years ago

8 0

Answer:

Slope is the ratio of the vertical and horizontal changes between two points on a surface or a line. The vertical change between two points is called the rise, and the horizontal change is called the run. The slope equals the rise divided by the run.

Elan Coil [88]3 years ago

3 0

The average rate of change is constant for a linear function.
Another way to state this is that the average rate of change remains the same for the entire domain of a linear function.
If the linear function is
y
=
7
x
+
12
then the average rate of change is 7 over any interval selected.
Slope intercept form
y
=
m
x
+
b
, where
m
is the slope.

You might be interested in

What is the sum of the first 40 positive odd integers?

nika2105 [10]

Answer:

1600

Step-by-step explanation:

$\text{Number of terms}, ~n = 40\\\\\text{Sum of n odd integers} = n^2 = 40^2 = 1600$

6 0

2 years ago

At the bank, Derek made 7 withdrawals, each in the same amount. His brother, John, made 5 withdrawals,

denis-greek [22]

At the bank, Derek made 7 withdrawals, each in the same amount. His brother, John, made 5 withdrawls, each in the same amount.

Let x be the amount of one of Derek's withdrawals

Each of John's withdrawals was $5 more than each withdrawal that Derek made.

x + 5 is t the amount of one of John's withdrawals

Derek made 7 withdrawals

So amount withdraw 7 times = 7x

John made 5 withdrawals

So amount withdraw 5 times = 5(x+5)

Both Derek and John withdrew the same amount of money in the end

(A)7x = 5(x+5)

(B) Solve for x

7x = 5x + 25

Subtract 5x from both sides

2x = 25

Divide by 2

x = 12.5

we plug in 12.5 for x in 7x= 5x + 25

7(12.5) = 5(12.5) + 25

87.5 = 62.5+ 25

87.5 = 87.5

(D) Each brother withdrawal 87.5 dollars

5 0

3 years ago

Graph the function represented in the table on the coordinate plane

yuradex [85]

Hello, the graph sould be like this. Just remember, if you want to draw a graph, you should know the x and y state. x is from left and y is from right.