SOLUTION: I need help with this problem. The percentage of workers with direct deposits. 32% in 1994 to 60% in 2004. Let 1994 be year 0 and 2004 be year 10. a) Write the equation of the li

Algebra ->  Linear-equations -> SOLUTION: I need help with this problem. The percentage of workers with direct deposits. 32% in 1994 to 60% in 2004. Let 1994 be year 0 and 2004 be year 10. a) Write the equation of the li      Log On


   

Question 178181: I need help with this problem.
The percentage of workers with direct deposits. 32% in 1994 to 60% in 2004. Let 1994 be year 0 and 2004 be year 10.
a) Write the equation of the line through (0,32) and ( 10,60) to model the growth of direct deposit.
ok I got y= 14/5 or 2.8x+b. Did I do something wrong.
b) Using this equation, what will the year be when 100% of employees will use direct deposit. I got 2017. Please show your work. So I can see where I went wrong?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
When you have the points
(x%5B1%5D,y%5B1%5D) and
(x%5B2%5D,y%5B2%5D)
the equation to plot a line is

The problem gives you
(0,32) and
(10,60)
%28y+-+32%29+%2F+%28x+-+0%29+=+%2860+-+32%29+%2F+%2810+-+0%29
%28y+-+32%29+%2F+x+=+28+%2F+10
%28y+-+32%29+%2F+x+=+2.8
y+-+32+=+2.8x
y+=+2.8x+%2B+32
Now solve for x at the point (x,100)
100+=+2.8x+%2B+32
2.8x+=+68
x+=+68%2F2.8
x+=+24.29
If x=0 represents the year
1994, then x+=+24
represents the year 1994+%2B+24+=+2018
I can check by seeing if the slope from
(10,60) to (24.29,100) is 2.8
100+-+60%29+%2F+%2824.29+-+10%29+=+2.8
40%2F14.29+=+2.8
2.8+=+2.8
OK