1. Let <em>y</em> represent the amount of money earned, and <em>x</em> the number of cars they wash. Then
<em>y</em> = 5<em>x</em>
Why? Each car wash costs $5. So no car washes means no earnings; 1 car wash earns $5; 2 washes earn $10; 3 washes earn $15, and so on, so that <em>x</em> car washes generate $5<em>x</em>.
2. No matter how many cars they end up washing, they will have spent $75 to set up the operation, so you subtract 75 from the equation is part (1).
3. Taking into account the setup cost of $75, the profit they make is given by
<em>y</em> = 5<em>x</em> - 75
4. When <em>x</em> = 0, meaning no cars get washed, the profit is -$75, meaning the team loses $75.
5. Set the profit function equal to 0 and solve for <em>x</em> :
5<em>x</em> - 75 = 0
5<em>x</em> = 75
<em>x</em> = 75/5
<em>x</em> = 15
So the team has to wash at least 15 cars to break even.
Answer:
x = 42.3.
Step-by-step explanation:
56.4 /14.4 = x / 10.8
Cross multiply:
14.4x = 56.4 * 10.8
x = (56.4 * 10.8) / 14.4
x = 42.3
Answer:
Typist A can type faster
Step-by-step explanation:
Replace the t in w = 50t with any numbers and graph the points you get
You can see that typist A can type 50 words per minute when typist B can only type 40
Answer:
3x^22−x^2+3
Step-by-step explanation:
Let's simplify step-by-step.
3x^22+2x+4−(x2+2x+1)
Distribute the Negative Sign:
=3x^22+2x+4+−1(x2+2x+1)
=3x^22+2x+4+−1x2+−1(2x)+(−1)(1)
=3x&22+2x+4+−x2+−2x+−1
Combine Like Terms:
=3x22+2x+4+−x2+−2x+−1
=(3x22)+(−x2)+(2x+−2x)+(4+−1)
=3x22+−x2+3
Answer:
=3x22−x2+3
