<span>x 2 3 4
f(x) 5.5 7 8.5 </span>
The first function is linear. When you subtract 5.5 from 7, you get 1.5 and when you subtract 7 from 8.5 you also get 1.5. That's how we know it's a linear function because there's clearly pattern. HOWEVER, if you had 5.5, 7, and 9 that would not be a linear function. Why? Because when you take away 7 from 9 you get 2. In order for it to be a linear function you have to get the same exact number when you subtract.
<span>x 0 3 6
f(x) 1 8 64</span>
The second function is exponential because when you divide you get the exact same number. 8/1 = 8 and 64/8 = 8. So this is exponential. But if you had 72 instead of 64 it would not be an exponential function because there has to be a pattern.
I hope this makes sense. Btw I had this question on my test too and this is correct.
Answer:
The hourly fee for rototiller is $3 per hour.
Step-by-step explanation:
We are given the following in the equation:
The rental company charged an initial fee of $43 with an additional fee per hour.
Let h represents the hourly fee.
The family paid $64 after renting the rototiller for 7 hours.
Thus, we can write the equation:

Solving the equation, we get,

Thus, the hourly fee is $3 per hour.
Equation:

where C(x) is the cost function and x is the number of hours rototiller is rented.
The hourly fee for rototiller is $3 per hour.
Answer:
Example = ( 12, 1 )
Step-by-step explanation:
There are many possible solutions to this equation, and all you would have to do to determine the ordered pair, is satisfy the following criteria -

Take a look at a graph of the line y = 1 / 6x - 1. Any ordered pair that lies on this line is a solution to the equation. The " criteria " is that the ordered pair must lie on this line. Let me give you an example, ( 12, 1 ).
<u><em>Hope that helps!</em></u>
Answer:
1. The graph of the inequality, y > -3·x - 2, created with MS Excel is attached showing the following characteristics;
Linear
Shade is above the line
2. The graph of the inequality, y ≤ │x│ - 3, created with MS Excel is attached showing the following characteristics
Linear
Shade is below the line
3. The graph of the inequality, y < x² - 4, created with MS Excel s attached showing the following characteristics;
Quadratic
Shade below the line
Step-by-step explanation: