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:
y = 250 + 15x
Step-by-step explanation:
Answer:
sin = opp/hyp
height = opp side
hyp = length of string
sin65 = height / 500
multiply both sides by 500
500 * sin 65 = height
use calculator
453.153893518324982 = height
~ 453 feet
Answer:
PR = 39 cm
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
PR² + PQ² = QR² , that is
PR² + 80² = 89²
PR² + 6400 = 7921 ( subtract 6400 from both sides )
PR² = 1521 ( take the square root of both sides )
PR =
= 39
The region shaded below a solid boundary line