Answer:
(a) This function represents a direct variation because it passes through the origin and has a constant rate of change of $5 per hour.
Step-by-step explanation:
The equation of direct variation is ...
y = kx
for some constant k. Here, we have x in hours and y in dollars. We can see if k is constant for the values given in the table.
__
<h3>constant of variation</h3>
Solving the direct variation formula for k, we have ...
k = y/x
Using the table values, we can see if this is constant:
k = dollars/hour = 10/2 = 20/4 = 30/6 = 40/8 = 5
The "rate of change" is constant at $5 per hour.
The function represents direct variation because it passes through the origin and has a constant rate of change of $5 per hour.
Square of five = 5^2 = 5 x 5 = 25
answer
c) 25
Given the data points, (x, y) of a linear function: (2, 11), (4, 10), (6, 9), (12, 6), what is the function? What is the slope?
NeX [460]
Answer:
The function is
.
The slope is
.
The y-intercept is
.
Step-by-step explanation:
Our aim is to calculate the values <em>m</em> (slope) and <em>b</em> (y-intercept) in the equation of a line :

We have the following data:

To find the line of best fit for the points given, you must:
Step 1: Find
and
as it was done in the table below.
Step 2: Find the sum of every column:

Step 3: Use the following equations to find <em>b</em> and <em>m</em>:

Step 4: Assemble the equation of a line

The graph of the regression line is:
Answer:
hope it helps.
<h2>stay safe healthy and happy...</h2>