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:
46
Step-by-step explanation:
Replace n by 10 in the rule a(n) = -9 + 5(n - 1):
a(10) = -9 + 5(9) = 45 - 9 = 46
Answer: Neither one is correct
Step-by-step explanation:
We don't know what we are actually comparing to: is it inches:feet or feet:inches? With the info provided, we can't decide which one is correct.
Outcomes:
1. Inches:feet constant of proportionality is 12,
2.feet:inches constant of proportionality is 1/12
Please, use the symbol " ^ " to denote exponentiation. At first I had no idea what you meant by 3r2.
You are using the approx. formula A = 3 r^2 to find the area.
The given radius is 4.3 inches. Subst. this value for r in the above equation.
Find A (keeping in mind that it's an approximation).
Answer: Option C.
Step-by-step explanation:
A) The result of the substitution shown in Option A is obtained by solving for y from the first equation and substituting into the second equation:
Therefore, this is a result of a substitution in the given system.
B) The result of the substitution shown in Option B is obtained by solving for y from the second equation and substituting into the first equation:
Therefore, this is a result of a substitution in the given system.
C) The result of the substitution shown in Option C is not a result of a substitution in the given system, because if you solve for x from the second equation and substitute into the first one, you get:
