Answer:
20
Step-by-step explanation:
Just write down the answer.
Answer:
12 and 30
Step-by-step explanation:
look at the 2 dots were t starts and ends
First you would add all the marbles together because you need to know how many are in the bag in total.
7 + 8 + 5 = 20
Next you simply put the number for blue over the total
8 / 20
And there's your answer.
Answer:
Part 1) The rate of change is
Part 2) The initial value is 68
Part 3) The function rule to the linear model is 
Step-by-step explanation:
we know that
The linear equation in slope intercept form is equal to

where
m is the slope or unit rate
b is the y-intercept or initial value
step 1
Find the slope
take two points from the table
(0,68) and (15,85)
The formula to calculate the slope between two points is equal to
substitute the values
In a linear function , the slope is the same that the rate of change
therefore
The rate of change is
step 2
Find the y-intercept
we know that
The y-intercept is the value of y when the value of x is equal to zero
Looking at the table
For x=0, y=68
therefore
The y-intercept is
The y-intercept is also called the initial value
therefore
The initial value is 68
step 3
Determine the function rule to the linear model

we have
substitute

we will select each options and find zeros
(a)

for finding x-intercept , we can set g(x)=0
and then we can solve for x

now, we can factor it

we get

so, this is TRUE
(b)

we can set it to 0
and then we can solve for x

we get

so, this is FALSE
(c)

we can set it to 0
and then we can solve for x




so, this is TRUE
(d)

now, we can set it to 0
and then we can solve for x


so, this is TRUE
(e)
we have

now, we can set it to 0
and then we can solve for x



so, this is FALSE