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tylerbrewton23
04.07.2019 •
Mathematics
Car wash a theater group is having a carwash fundraiser. the liquid soap costs $34 and is enough to wash 40 cars. each car is charged $5. a. if c is the total number of cars washed and p is the profit, which is the independent variable and which is the dependent variable? b. is the relationship between c and p a function? explain. c. write an equation that shows this relationship. d. find a reasonable domain and range for the situation.
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Ответ:
a.If c is the total number of cars washed and p is the profit
The profit depends on the total number of cars washed.
So profit P is the dependent variable and C is the independent variable
(b) yes, the relationship between c and p a function
Because for each input for c, there will be an unique output for P
(c) C is the number of cars
Each car charged is $5
So C cars charged is 5C
The liquid soap costs $34 and is enough to wash 40 cars. So we subtract 34
Hence Profit P = 5c - 34
The equation is P = 5c - 34
(d) The liquid soap costs $34 and is enough to wash 40 cars
So number of cars is 0 to 40
0<=c <=40
soap costs $34
so profit is above 34
When cars = 40 then profit is 5(40) - 34= 166
So profit lies between 34 and 166
34<= P<= 166
Ответ:
Given:
Fractions
etc.
To find:
What happens with the “ninth” fractions.
Solution:
We have, the values of
are
Clearly we can spot a pattern, because after decimal the numerator digit of fraction is repeating.
Similarly,
Therefore, the decimal value of
is 0.99999..., which is approximately 1.