Answer: Linear
The equation is y = 2x-5
Slope = 2
y intercept = -5
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Explanation:
Each time x goes up by 1, y increases by 2. This directly leads to a linear equation due to the same rate of change no matter where you are in the table.
The slope is rise/run = 2/1 = 2 because "y increases by 2 each time x increases by 1".
We could use the slope formula to see this. Pick on any two rows to plug in the coordinates. I'll use the last two rows
m = (y2-y1)/(x2-x1)
m = (3-1)/(4-3)
m = 2/1
m = 2
This confirms the slope is 2.
The positive slope means that the line goes uphill as you move from left to right.
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The y intercept is b = -5 because the y intercept always happens when x = 0. This applies to any function, whether it's linear or not.
Together with m = 2 as the slope and b = -5 as the y intercept, we go from y = mx+b to y = 2x-5 as our linear equation
As a way to check, plug in something like x = 1 to find that...
y = 2x-5
y = 2*1-5
y = 2-5
y = -3
The table shows that x = 1 and y = -3 pair up together in the same row, so that confirms x = 1. I'll let you verify the other x values.
Answer:
21
Step-by-step explanation:
To find the answer, you'd have to continue tracing the diagonal line until it intersects with the vertical line that corresponds to the number 3.
If you do that, you'll see that in3 boxes, there are 21 footbals.
You can also calculate it mathematically:
If you have 7 balls per box as shown in the graph, you just have to multiply 7 by 3 to know how many balls you'll find in 3 boxes. 7 * 3 = 21.
Hope it helped,
BioTeacher101
Answer:
The third choice is the correct answer
Step-by-step explanation:
The set of ordered pairs which could be generated by an exponential function is
If we examine the y-values of this set of ordered pairs, we can see that they have a common ratio of
This makes it exponential.
Answer:
e/g+f/g
Step-by-step explanation:
(e+f)/g can be split up. e/g+f/g is equal to (e+f)/g so your answer is e/g +f/g
Average rate of the function: 3
Step-by-step explanation:
The function in this problem is
The average rate of change of a function over an interval 
is given by
where
are the values of the function calculated in 
respectively
For the function in this problem we have:
, so
, so
So, the average rate of change is
Learn more about rate of change:
brainly.com/question/4152194
brainly.com/question/12941985
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