In 2010, josie and salvador each worker an eight-hour days each week, How many weeks did it take josie to earn $ 1,000 more than salvador.
Accepted Solution
A:
the complete question in the attached figure
step 1 find the equation of the line Josie’s and Salvador’s wages
Josie’s wages we have the points (3,26.25) and (5,43.75) slope m=(43.75-26.25)/(5-3)------> m=8.75 with m and the point (3,26.25) y-y1=m*(x-x1)------> y-26.25=8.75*(x-3)---> y=8.75x-26.25+26.25 y=8.75x------> equation 1
Salvador’s wages we have the points (2,15) and (6,45) slope m=(45-15)/(6-2)------> m=7.5 with m and the point (2,15) y-y1=m*(x-x1)------> y-15=7.5*(x-2)---> y=7.5x-15+15 y=7.5x------> equation 2
step 2 the difference equation 1 and equation 2 must be $1000 so 8.75x-7.5x=1000-------> 1.25x=1000------> x=1000/1.25 x=800 hours Josie and Salvador each worked an eight-hour day
for five days each week so each week is 8*5-------> 40 hours