MATH SOLVE

4 months ago

Q:
# Write an equation to represent the pattern in the table below.Hours (h) Salary (s)5 $100.006 $110.007 $120.008 $130.00

Accepted Solution

A:

the question asks us to write an equation that explains the relationship between hours and salary.

For each hour the salary keeps increasing by $10.

Therefore for each increase in hour, salary is supposed to increase by 10.

however salary is not directly proportional to number of hours worked. If so then 5th hour worked should be $10 / hour x 5 hours = $ 50

Therefore it is visible that there's a fixed salary amount, with each increase in hour , salary keeps increasing.

If fixed amount is F, then for 5 hours worked,

$ 100 = F + $10 /hour x 5 hours

100 = F + 50

F = $ 50

then salary for 8 hours worked;

= 50 + 10x8

= 50 + 80 = $130

Therefore equation for the pattern is

s = 50 + 10h

s- salary

h - number of hours

For each hour the salary keeps increasing by $10.

Therefore for each increase in hour, salary is supposed to increase by 10.

however salary is not directly proportional to number of hours worked. If so then 5th hour worked should be $10 / hour x 5 hours = $ 50

Therefore it is visible that there's a fixed salary amount, with each increase in hour , salary keeps increasing.

If fixed amount is F, then for 5 hours worked,

$ 100 = F + $10 /hour x 5 hours

100 = F + 50

F = $ 50

then salary for 8 hours worked;

= 50 + 10x8

= 50 + 80 = $130

Therefore equation for the pattern is

s = 50 + 10h

s- salary

h - number of hours