50 points! Mhanifa please help! I will mark brainliest! Random answers will be reported guys so don’t answer if you don’t know i
t!
2 answers:
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Answer:
The functions have the same y-intercept.
OPTION C is correct.
Step-by-step explanation:
<u>DEFINITIONS AND FORMULAS</u>
The equation of a linear graph is given to be:
Where m is the slope of the graph and b is the y-intercept.
To calculate the slope given a table, we can use the formula:
<u>SOLUTION</u>
<u>Function 1:</u> The equation of the graph is given to be
Therefore, the y-intercept of the graph is given to be:
<u>Function 2: Recall that the y-intercept of a graph is the y-value when x = 0.</u>
On checking the graph, we can see that when r = 0, p = -5.
Therefore, the y-intercept is:
ANSWER
The functions have the same y-intercept.
OPTION C is correct.
Answer:
Part a) The weekly cost of food for a family of four in 1997 was $153.09
Part b)
Part c)
Step-by-step explanation:
Part a. What was the weekly cost of food for a family of four in 1997?
Let
y ---->the weekly cost of food for a family of four
x ---> the number of years since 1997
we know that
The linear equation in point slope form is equal to
In this problem we have a linear function between variable x and variable y
In 2004, the weekly cost of food for a family of four was $186.90
so
In the year 2004
The value of x is equal to
x=2004-1997=7 years
we have
substitute
----> equation in point slope form
Remember that the year 1997 is when the value of x is equal to zero
so
For x=0
solve for y
-----> y-intercept or initial value
therefore
The weekly cost of food for a family of four in 1997 was $153.09
Part b. Write an equation that gives the weekly cost of food for a family of four as a function of the number of years since 1997
we know that
The linear equation in slope intercept form is equal to
where
m is the slope
b is the y-intercept or initial value
we have
----> initial value in 1997
substitute
Part c. Find the weekly cost of food for a family of four in 2010 assuming the same rate of increase
In the year 2010
x=2010-1997=13 years
substitute in the linear equation