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Sagot :
Answer:
a) (2, 0.5) (4, 1)
b) V(n) = 0.25n
c) $2.50
d) # quarters = independent
value = dependent
Step-by-step explanation:
The independent value is the number of quarters and the dependent variable is the value of cents and the equation that represents this function is,
[tex]v(n)=25\times n\rm \;\;cents[/tex]
How to write algebraic expression?
Algebraic expression are the expression which consist the variables, coefficients of variables and constants.
The algebraic expression are used to represent the general problem in the mathematical way to solve them.
Steps to write down the simple algebraic expression-
- Identify all the factors of the expression.
- Assume a variable for the changing values.
- Put a coefficient for the variable, if there is any rate of change of variable.
- Use constant numbers for the fixed values.
- a. Give 2 input-output pairs that represent this function.
There is total 25 cent is 1 quarter. Thus, when if there are 2 quarters, then the value of cent is 50 and when there are 4 quarters, then the value of cents is 100 cents.
Hence, the two pairs should be as,
(2, 50), (4, 100)
- b. Write an equation that represents this function.
As, v is the value of quarters in cents. There is total 25 cent is 1 quarter. The total quarter is n. Thus, the function can be given as,
[tex]v(n)=25\times n\rm \;\;cents[/tex]
- c. Find the output when the input is 10.
Put the value 10 on the place of n in the above equation as,
[tex]v(10)=25\times (10)\\v(10)=250\rm cents[/tex]
The output when the input is 10 is 250 cents.
- d. Identify the independent and dependent variables.
The independent value is the number of quarters and the dependent variable is the value of cents.
Hence, the independent value is the number of quarters and the dependent variable is the value of cents and the equation that represents this function is,
[tex]v(n)=25\times n\rm \;\;cents[/tex]
Learn more about the algebraic expression here;
https://brainly.com/question/2164351
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