Use the table to find a prediction equation to show how the number of hours worked relates to the amount of savings.

Hours 4 6 10 12 15
Savings 58 82 130 154 190

a.) y=-1/2 x+ 58
b) y = 1/2x + 10
c) y=12x +58
d) y=12x+10

Question

Use the table to find a prediction equation to show how the number of hours worked relates to the amount of savings.

Hours        4       6        10       12          15
Savings     58     82       130     154        190

a.) y=-1/2 x+ 58
b) y = 1/2x + 10
c) y=12x +58
d) y=12x+10

amistre64 · Answer

well, all the options are linear; is the slope the same between all the data points?

anonymous · Answer

im not sure, that's just what the question says

amistre64 · Answer

(h,s)
-------
  (6,82)
-(4,58)
--------
   (2,24) ; slope = s/h = 24/2 = 12

  (10,130)
- ( 4,  58)
--------
   (6 ,  72) ; slope = s/h = 72/6 = 12

so its either c or d from that experiment

amistre64 · Answer

lets use (4,58) into the equation of d to check for it :)

y=12x+10

58 = 12(4)+10

58 = 48 + 10

58 = 58 ;   so (d) works out good

anonymous · Answer

wow thanks for the explanation