a) Answer:
Shipping cost of 3.2 package is $4.13.
We can't use the cost assigned to 3
lbs because the package is over 3 lbs but it is not over 4 lbs so we use the
cost of 4lbs. (check the attachment for price)
b)Answer:
Line graph is needed to represent
the Media Mail shipping prices as a function of the weight of the books
shipped.
In line graph, x values represent the
weight in pounds and the y values represent the cost.
c) Answer;
When we graph the Media Mail shipping
prices as a function of the weight of the books shipped, it will be;
f(x) = 2.69 + 0.48(x-1)
d) Answer:
domain
is the x values; range is the y values
We can
define the domain of a function
f(x) as the set of all values for which the function is defined, and the range of the
function refers to the set of all values that f takes.
e)
Given that;
x =
number of books purchased
f(x) =
price of shipping one order of books
fixed
fee = 3 per order
variable
fee: 1.99 per book
thus
the function will be;
f(x) =
3 + 1.99x
Assuming
the x =
f(0) =
3 + 1.99(0)
f(0) =
3 + 0
f(0) = 3
f)
check the attachment. Graph part 1 f
g) The graph is
continuous because the x-values can have any input as a point.
That graph is a continuous, means it is like
unbroken line. Therefore we want to say that f(x) is a continuous function. But
a function is a relationship between numbers.
Part 2;
Area =
8,100 square feet
area of
a square = a²
8,100
square feet = a²
√8,100
square feet = √a²
90 feet
= a
total
length each row of bookshelf is 4/5 of the length of the storage space.
90 feet
* 4/5 = (90*4)/5 = 360/5 = 72 feet.
Area =
(72 ft)²
Area =
5,184 square feet.
Part 3
a) check the attachment
b)check the attachment
Part 4:
a)
let x represent the amount of a transaction
and f(x) represent the amount Isabel is charged for the transaction
then;
f(x) = 1.5(x)
c) The domain and range are both negative infinity to positive infinity.
We can define the domain of a function f(x) as the set of all values for which the function is defined, and the range of the function refers to the set of all values that f takes
