SOLUTION: I have to solve an input output problem 12-16 16-19 20-22 24-25 26-26.5 And I don’t know how to express their relationship, I know it’s +4, then +3, +2,+1,+0.5

Algebra ->  Expressions-with-variables -> SOLUTION: I have to solve an input output problem 12-16 16-19 20-22 24-25 26-26.5 And I don’t know how to express their relationship, I know it’s +4, then +3, +2,+1,+0.5       Log On


   



Question 1122732: I have to solve an input output problem
12-16
16-19
20-22
24-25
26-26.5
And I don’t know how to express their relationship, I know it’s +4, then +3, +2,+1,+0.5

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

1. Decipher the pattern of the function by asking, “What happened to the input to get the output?”
2. Write the rule as an expression, or
find the equation of line going through points

input -output
12-16
16-19
20-22
24-25
26-26.5
Solved by pluggable solver: Find the equation of line going through points
hahaWe are trying to find equation of form y=ax+b, where a is slope, and b is intercept, which passes through points (x1, y1) = (12, 16) and (x2, y2) = (24, 25).
Slope a is a+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29+=+%2825-16%29%2F%2824-12%29+=+0.75.
Intercept is found from equation a%2Ax%5B1%5D%2Bb+=+y%5B1%5D, or 0.75%2A12+%2Bb+=+7. From that,
intercept b is b=y%5B1%5D-a%2Ax%5B1%5D, or b=16-0.75%2A12+=+7.

y=(0.75)x + (7)

Your graph:




so, the function y=0.75x+%2B+7 expressing their relationship