Reducing
9x + -31 = 43
Rearranging the components:
-31 + 9x = 43
Finding the solution
-31 + 9x = 43
Isolating the variable 'x'.
Shift all terms with x to one side,
Add '31' to both sides of the equation.
0 + 31 + 9x = 43 + 31
Summing up similar items:
-31 + 31 = 0
0 + 9x = 43 + 31
9x = 43 + 31
Summing similar items:
43 + 31 = 74
9x = 74
Split each side by '9'
x = 8.222222222
Simplifying
x = 8.222222222
Answer:
This situation illustrates Extrapolation.
Step-by-step explanation:
Extrapolation involves predicting the future based on the premise that current or historical trends will persist.
This also entails assuming the methodologies employed to gauge past trends will apply in the future.
For instance, consider projections regarding global population.
In this case, the number of Elvis Presley impersonators has risen from 48 at his death in 1977 to 7,328 today. If we estimate that by 2016, one in four individuals will become an Elvis impersonator based on the growth trend, this exemplifies Extrapolation.
They are parallel due to their identical slopes.
Let x = time in weeks.
Let y = length of Rip van Winkle's beard, measured in mm
At the beginning, his beard was 888 mm long, thus
when x = 0, y = 888.
Each week, y increases by 222 mm.
Hence
y = 222x + 888
This represents a linear equation with
slope = 222,
y-intercept = 888
At x = 1, y = 222 + 888 = 1110 mm
To plot the straight line, select two points:
(0, 888) from the y-intercept
(1, 1110)
The straight line graph is illustrated below. The two points are depicted on the line.