MATH SOLVE

2 months ago

Q:
# 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

if 1 week is-----------> 40 hours

X-----------------> 800 hours

x=800/40-----> x=20 weeks

the answer is

20 weeks

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

if 1 week is-----------> 40 hours

X-----------------> 800 hours

x=800/40-----> x=20 weeks

the answer is

20 weeks