Algebra question help (need the answers)

Question

Suppose you earn a minimum wage of $7.25.
4) Suppose that next week you plan to work h hours. Write an expression that models the amount of money you will earn if you work h hours at $7.25 per hour.
5) Suppose that your friend Rich earns the same hourly wage that you earn, but he works in a job in which he receives tips.
Write an expression that models your friend's total earnings for a week during which he works h hours and receives $15 in tips.
Evaluate the expression for h = 10 hours.
Evaluate the expression for h = 25 hours.

6) Now you will write an expression that models the sum of your earnings for three weeks and Rich's earnings for two weeks.
Write the expression for the sum of your earnings for a week if you work h hours at $7.25 per hour. (This is the same as #4.)
Write an expression for what you would earn for three weeks. You will need to multiply your expression from #6a by 3.
Write an expression that models Rich’s earnings for a week if he works h hours at $7.25 per hour and receives $15 in tips per week. (This is the same as #5a.)
Write an expression for Rich’s earnings for two weeks.
Write an expression that represents the sum of your earnings over the three weeks and Rich’s earnings over the two weeks. Simplify the expression.
7) Write an expression that represents the difference in your earnings over the three weeks (#6b) and Rich’s earnings over the two weeks (#6d). Simplify the expression.

Answer 1

Cannot assume they work the same number of hours every week.

 

The linear functions  for the weekly salary are:

 

7.25*H

 

15 + 7.25*h

 

 

You can now figure out the weekly salary.

 

For 10 hours they are 7.25 * 10 = 72.50 and 15 + 7.25*10 = 15 + 72.50 = 87.50

 

As stated, you cannot assume the same number of

hours are worked each week. Otherwise you do

 

3(7.25h) + 2(15 + 7.25h) = 

21.75h + 30 + 14.50 h =

 36.25h + 30

 

Now you plug in the h=10 and h=25 to figure out the salaries.

 

Good LUCK!