Answer:
y=2
Step-by-step explanation:
The Y=0 Line is the X-axis, where there is no altitude. Adding 2 to zero shift the line up to pass through the point (0,2).
Answer:
First: $65
Second: $115
Step-by-step explanation:
We write equations for each part of this situation.
<u>The Total Charge</u>
Together they charged 1550. This means 1550 is made up of the first mechanics rate for 15 hours and the second's rate for 5 hours. Lets call the first's rate a, so he charges 15a. The second's let's call b. He charges 5b. We add them together 15a+5b=1550.
<u>The Sum of the Rates</u>
Since the first's rate is a and the second is b, we can write a+b=180 since their sum is 180.
We solve for a and b by substituting one equation into another. Solve for the variable. Then substitute the value into the equation to find the other variable.
For a+b=180, rearrange to b=180-a and substitute into 15a+5b=1550.
15a + 5 (180-a)=1550
15a+900-5a=1550
10a+900-900=1550-900
10a=650
a=$65 was charged by the first mechanic.
We substitute to find the second mechanic's rate.
65+b=180
65-65+b=180-65
b= $115 was charged by the second mechanic
Answer:
Step-by-step explanation:
Assuming the same number of bowling and mini golf games are played, let x represent the total number of games played, either bowling or mini golf. let y represent the total cost of bowling. Let z represent the total cost of golfing
Bowling cost $2 to rent a club plus $5 per game. It means that the cost, y for x bowling games will be
y = 2 + 5x
Mini golf cost $5 to rent a club, plus $4 per game. It means that the cost, y for x mini golf games will be
z = 5 + 4x
For the total cost to be the same, we will equate both equations(y = zl
2 + 5x = 5 + 4x
5x - 4x = 5 - 2
x = 3
There would be 3 games before total cost would be the same
