Answer:
A) Independent variable is "c"
Dependent variable is "p"
B) Yes, it's a function
C) p = 7c - 31
D)domain of the function: 0 ≤ c ≤ 40
Range of the function: 0 ≤ p ≤ 249
Step-by-step explanation:
A) c is the total number of cars washed and p is the profit. The profit depends on the total number of cars washed. Hence, profit(p) is the dependent variable while "c" is independent variable
B) Yes it's a function because for each number of cars washed, there is a distinct value of profit made.
C) We are told that the liquid soap costs $31 and is enough to wash 40 cars. Each car is charged 7$.
$31 is cost to wash one car. Thus profit made per car is;
p = 7c - 31
D) The cost of $31 liquid soap is enough to only wash a maximum of 40 cars. This means the domain for the cars is from 0 cars to 40 cars
Thus;
domain of the function is 0 ≤ c ≤ 40
The profit function is given in answer C above as p = 7c - 31.
Now, if 0 cars are washed they will make zero profit but if 40 cars are washed then;
p = 7(40) - 31
p = 280 - 31
p = 249
Range of the function: 0 ≤ p ≤ 249
Answer:
43/4 = 10.25 which rounds to the nearest whole number of 10 total carts
Answer:
Ok hi
Step-by-step explanation:
Answer:
f(-3) = -2
f(-2.6) = -2
f(0.6) = 2.4
f(4.5) = 8.5
Step-by-step explanation:
(Whole question:
Evaluate the piecewise function for the given values.
Find f(-3), f(-2,6), f(0.6), and f(4.5) for f(x)={ -2 If x ≤ 0 4x. If 0 <x <1. x + 4. If x ≥ 1)
As the piecewise function shows, the function f(x) has the value of -2 for values of x lesser or equal than 0, has the value of 4x if the value of x is between 0 and 1, and has the value of x+4 for values of x greater or equal than 1.
So, for f(-3), the value of x is lesser than 0, so we have that f(-3) = -2
For f(-2.6), the value of x is lesser than 0, so we have that f(-3) = -2
For f(0.6), the value of x is between 0 and 1, so we have that f(0.6) = 4*0.6 = 2.4
For f(4.5), the value of x is greater than 1, so we have that f(4.5) = 4.5 + 4 = 8.5
