50 Points for answers(s):
2 answers:
Answer:
Ques 1)
-2
Ques 2)
A. negative one over two
Ques 3)
Bobby has $300 in the yearbook fund and earns $13.50 for each yearbook sold.
Ques 4)
she initially had $ 10 in her piggy bank and also she earned $ 10 each week in allowance.
Ques 5)
150
Step-by-step explanation:
Ques 1)
We know that the initial value of the linear relationship is the y-value when x=0.
i.e. x=0 is considered as the initial case.
Hence, when x=0 we have ,
y= -2
Hence, the initial value is:
-2
Ques 2)
We are given a table as:
x y
-1 10
1 9
3 8
5 7
As we know that a linear function has a constant rate.
Hence we calculate rate of change from x= -1 to x=1
We know that the rate of change of a function from x=a to x=b is calculated as:
Hence, when a= -1 and b=1 the rate of change is:
Hence, option A is correct.
A. negative one over two.
Ques 3)
The linear relationship is given by:
y = 13.50x + 300
Hence, this means that for each yearbook he earns $ 13.50.
Also, when x=0
we have y=300
This means that Bobby has $ 300 in the yearbook fund.
Hence, the best statement is:
Bobby has $300 in the yearbook fund and earns $13.50 for each yearbook sold.
Ques 4)
Weeks Dollars
0 10
2 20
4 30
6 40
This means that she initially had $ 10 in her piggy bank and also she earned $ 10 each week in allowance.
Since the function is a linear function as the rate is constant and could be modeled as:
y=10x+10
where x are the number of weeks and y is the cost in dollars.
Ques 5)
It is given that:
Kenny has $1,400 in the bank. He earns $150 every week at his after-school job.
Let x denote the number of weeks and y denotes the amount in his bank.
This means that with the information we can modeled the function as:
we know that for any equation of the type y=mx+c
m represents the rate of change or slope of the linear function and c denote the initial value of the function.
Hence here we have: m=150
Hence, rate of change is:150
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