Integrated Math Word Problems
Here’s a great example of a word problem that requires finding a slope, writing an equation , and projecting an outcome:
In 2010 there were 281,700 web designers. In 2020 there were 318,500. In what year will the number of designers exceed 300,000.
Slope formula: y2 –y1 / x2 –x1
First we have to find 2 points to make a slope:
2020 X2 318500 Y2
-2010 X1 -281700 Y1
10 36800
Slope = 36800/10 Now use this slope with either of the two points. We’ll use (2010, 281,700)
Slope = 3680
Y=mx + b
281700=3680(2010) + b
281700=7396800 + b
b= -7115100
Now substitute in 300,000 for Y and solve for the year X that it will occur.
300,000 = 3680x – 7115100
X= 2014.97. Therefore the # of designers will exceed 300,000 before the end of 2014
