The picture attached has the table that repfesents the linear function to find the equation.
Answer:
Explanation:
A<em> linear function</em> is characterized by a constant slope and a unique y-intercept.
Let m be the slope and b the y-intercept of a linear function. Then, s<em>lope-intercept</em> equation has the form:
Using any two pair of points (x,y) from the table you can determine the values of m and b.
The table is:
x 0 1 2 3 4
y -6 4 14 24 34
You know that it is a linear function because for constant increases of the x-values (1 unit in the table) there is a constant increase of the y-values (10 in the table).
The slope, m, is calculated as:
- m = [change in y] / [change in x] = Δy / Δx = [14 - 4] [2 - 1] = 10
As said, you could have used any two points to calculate m,
The y-intercept, b, is the value of the function, y, when x = 0.
- From the table you can observe that when x = 0, the value of y is - 6; so b = - 6.
Thus, the equation of the linear function represented in the table in slope-intercept form is:
Answer:
The first picture is a function and the second picture is not.
Step-by-step explanation:
Reason - In the first picture, there is no repeating value of x. In other words, every x value has a y value. However, in the second picture, the x value, 2 goes to 2 and -3.
Convert "3/4 ton" into pounds. Use the identity 2000 lb = 1 ton.
2000 lb 1500 lb
Then [(3/4) ton] * ---------------- = ----------------
1 ton 1
Now divide 1500 lb by 4 lb 14 oz. Note that 4 lb 14 oz = 4 14/16 lb, or
4 7/8 lb, or 4.875 lb.
Then, divide 1500 lb by
4.875 lb
------------ to determine the number of bricks the truck can safely carry.
1 brick
This comes out to 1500/4.875 bricks, or approx. 307 bricks.
Let's assume that this function is linear.
Take any 2 of the points and find the slope of the line segment connecting them:
103 - 80
m = ------------- = 23, meaning $23 per day. Subtracting $23 from $34 (in the table), we get $11. Thus, the correct linear relationship is B.
4 - 3
True, integers are all counting numbers and their opposites, and all of them can be represented as a fraction
example: 3 is a counting number(integer) and it is rational because it can be represented as 3over1
