Answer:
$20,000
Step-by-step explanation:
You can quickly figure this by recognizing that the difference in commission must be the same as the base salary:
2.5%(car price) = $500
car price = $500/0.025 = $20,000
__
If you prefer, you can get there with equations.
At Job 1, the pay is ...
y = 10%×(car price)
At Job 2, the pay is ...
y = 7.5%×(car price)
Setting the equal (the two opportunities pay the same), we have ...
0.10(car price) = 500 +0.075(car price)
0.025(car price) = 500 . . . . . . . . subtract 0.075(car price)
car price = 500/0.025 = 20,000 . . . . divide by 0.025
Jim would have to sell a $20,000 car each week for the jobs to pay the same.
Answer:
(2,-5)
Step-by-step explanation:
See attachment
One can also solve this by calculation:
y=2x-9
y=-2x-1
-
Rearrange either equation to find x. I'll use the first:
y=2x-9
2x = y+9
x = (y+9)/2
Now use this value of x in the second equation:
y = -2x-1
y =-2((y+9)/2)-1
y = (-2y-18)/2)-1
y = -y -9 - 1
2y = -10
y = -5
Now use -5 for y in the rearranged equation:
y = -2x-1
-5 = -2x-1
-2x = -4
x = 2
Solution is (2,-5)
But the question wants a graph solution, which is also fun when you use DESMOS.
4x=6x-14
First isolate the variables onto one side and the numbers on the other so subtract 4x from both sides of the equation and add 14 to both sides of the equation to get 14=2x then you are going to want to completely isolate the variable so you divide 2 on both sides to get an answer of X=7
