To solve this problem, we have to figure out a rule for the function. We are told that it is a two-step rule, so it is most likely the input multiplied by a coefficient plus a constant. Let’s let the input be represented by the variable x and the output be represented by the variable y. Using our knowledge, we can see that the outputs are close to triple the input, so we set up the preliminary equation:
y = 3x + b,
where b is a constant. If we want to solve for b, we must plug in one of our input/output pairs. If we plug in (5,16), we get the following:
16 = 3(5) + b
16 = 15 + b
1 = b
Then, we should substitute in this value into our equation and check our work.
y = 3x + 1
If we plug in the other points, this equation yields a true statement, so we know it is correct.
Hope this helps!
Answer:
A.
.
Step-by-step explanation:
The common difference is 5. The y values are going up by 5. So this is an arithmetic sequence since we have a common difference.
The explicit form for arithmetic sequence is:
where d represents the commom difference and is the first term.
Here the first term is and we already determined the value for d which is 5.
Inputing these values for first term and common difference give:
.
Answer:
The equation of the linear function g(x) is
g(x) = x + 6
Step-by-step explanation:
The step by step explanation is attached here.
Answer: The answer is y = 0.5x -3
Hope this helps, I can take the time to explain if needed:)
Answer:
First, you have to multiply 24 and 36 inches- that = 864. Then, you multiply 6 and 4- that = 24. Lastly, you divide 864 and 24- that= 36
Step-by-step explanation:
I hope this helped :)