Alex is trying to start a savings plan. the following graph represents his projected savings over the next 12 months. how many months will have passed until alex has saved $800? question 19 options: 12 months 14 months 16 months 18 months

Choice B) 14 months



Explanation:

The two points (4,300) and (8,500) are on the line

Use the slope formula to get
m = (y2-y1)/(x2-x1)
m = (500-300)/(8-4)
m = 200/4
m = 50
The slope is 50

Use the slope of m = 50 along with one of the points, say (x,y) = (4,300) 
Plug them into the y = mx+b formula. Then solve for b

y = mx+b
300 = 50*4+b
300 = 200+b
300-200 = 200+b-200
100 = b
b = 100
The y intercept is 100
This is the location where the blue graph crosses the y axis

Since m = 50 is the slope and b = 100 is the y intercept, this means y = 50x+100 is the equation that generates that line

After we get the equation, we replace y with 800 and solve for x. The reason why is because we want to know the x value (the number of months) when the y value is 800 (when money saved is $800)

So,
y = 50x+100
800 = 50x+100
800-100 = 50x+100-100
700 = 50x
50x = 700
50x/50 = 700/50
x = 14
So it takes 14 months