"Understanding Volume" Lesson 11.7 5th Grade
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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