SOLUTION: IMAGE: http://jasper.kaptest.com/content/media/92/124592.18.sat08pt010403stem1.png If s is the amount of time it takes Joe to solve a puzzle and d is the amount of time it tak

Algebra ->  Length-and-distance -> SOLUTION: IMAGE: http://jasper.kaptest.com/content/media/92/124592.18.sat08pt010403stem1.png If s is the amount of time it takes Joe to solve a puzzle and d is the amount of time it tak      Log On


   

Question 955551: IMAGE: http://jasper.kaptest.com/content/media/92/124592.18.sat08pt010403stem1.png

If s is the amount of time it takes Joe to solve a puzzle and d is the amount of time it takes his friend Bob to design the puzzle, then which of the following equations best fits the information in the table above?
OPTIONS:
s = 2d + 3
s = 2d + 5
s = 3d + 1
s = 2d2 + 3
s = 3d2 + 2
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

If s+is the amount of time it takes Joe to solve a puzzle and
d+is the amount of time it takes his friend Bob to design the puzzle,
then which of the following equations best fits the information in the table above?
d|s
1|5
2|7
3|9
4|11
5|13
since this is a linear function we can find equation s=md%2Bb first:
find a slope: %287-5%29%2F%282-1%29=2; so our option is 2d
now use one point and slope to find b,
9=2%2A3%2Bb
9-6=b
b=3
so, our equation is s=2d%2B3
check:
d|s
1|5 =>2%2A1%2B3=5++
2|7=>2%2A2%2B3+=7+
3|9=>2%2A3%2B3+=9+
4|11=>2%2A4%2B3++=11
5|13=>2%2A5%2B3++=13