Answer:
See below
Step-by-step explanation:
1. Use x to designate the number of hours worked.
Plumber 1 = 35(x) + 25
Plumber 2 = 40(x)
Now you need to find when these two equations are equal to each other.
35(x) + 25 = 40(x)
Solve for x.
25 = 40x - 35x
25 = 5x
5 = x
So when the service call equals 5 hours, both plumbers will charge the same amount of money.
2. Use x to designate the number of months.
Center 1 = 30x
Center 2 = 22x + 80 initiation fee
Now you need to make the two equations equal to each other and solve for x.
30x = 22x + 80
30x - 22x = 80 or 8x = 80
x = 10 months
3. Use x to designate the pounds of the package
Shipper 1 = 14 + 2x
Shipper 2 = 20 + 1.5x
Make the two equations equal to each other.
14 + 2x = 20 + 1.5x
2x - 1.5x = 20 - 14
0.5x = 6
x = 12 pounds
4. Deanna $15 using $0.75 per game. This means she can play a total of 20 games before having $0.
Lise $13 using $0.50 per game. This means she can play a total of 26 games before having $0.
So since both end up with $0, you can see that Deanna would play 20 games and Lise would play 26 games.
5. Use x to designate the call time length.
Hotel 1 = 1 + 0.80x
Hotel 2 = 2 + 0.75x
Make both equations equal to each other.
1 + 0.8x = 2 + 0.75x
0.8x - 0.75x = 2 - 1
0.05x = 1
x = 20
6. Use x to designate semesters.
Duke = 22 + 6x
Kila = 4 + 12x
22 + 6x = 4 + 12x
22 - 4 = 12x - 6x
18 = 6x
3 = x semesters
