50 points for answers(s):
based on the graph, what is the initial value of the linear relationship?
−2
0
two over three
3
(graph at bottom of page)
what is the rate of change for the linear relationship modeled in the table?
x
y
−1 =x
10 =y
1= x
9 =y
3=x
8 =y
5=x
7 =y
a. negative one over two
b. 0
c. one over two
d. 2
which scenario best matches the linear relationship expressed in the equation y = 13.50x + 300?
bobby has $300 in the yearbook fund and spends $13.50 on each yearbook.
bobby has $13.50 in the yearbook fund and spends $300 on each yearbook.
bobby has $300 in the yearbook fund and earns $13.50 for each yearbook sold.
bobby has $13.50 in the yearbook fund and earns $300 for each yearbook sold.
which scenario best matches the linear relationship shown in the table?
weeks
dollars
0= weeks
10 = dollars
2= weeks
20 = dollars
4= weeks
30 = dollars
6= weeks
40 = dollars
shanna had $10 in her piggy bank and earned $10 each week in allowance.
shanna had $10 in her piggy bank and earned $5 each week in allowance.
shanna had $10 in her piggy bank and spent $5 each week on stickers.
shanna earns $10 each week.
kenny has $1,400 in the bank. he earns $150 every week at his after-school job. what is the rate of change for the scenario described?
2
150
300
1400

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

answer: -0.5 would be the most likley outcome

step-by-step explanation:

the domain of a function is the set of input values, x , for which a function is defined. the domain is shown in the left oval in the picture below. the function provides an output value, f(x) , for each member of the domain.