Rip van Winkle fell asleep for a very long time. When he fell asleep, his beard was 8 millimeters long, and each passing week it
grew 2 additional millimeters.
Graph the length of Rip van Winkle's beard (in millimeters) as a function of time (in weeks).
Please help me to understand how to graph this problem.
Graph the length of Rip van Winkle's beard (in millimeters) as a function of time (in weeks).
Please help me to understand how to graph this problem.
2 answers:
Answer:
Given,
The original length of the beard = 8 mm
Each week additional length of beard = 2 mm
So, the addition length after x weeks = 2x mm,
Thus, the total length of beard after x weeks ( say f(x) ) = original length + additional length
⇒ f(x) = 8 + 2x
Which is the required function,
f(x) = 8 + 2x is a line,
If f(x) = 0, x = - 4,
So, the line passes through (-4,0),
if x = 0, f(x) = 8
So, the line passes through (0,8),
Hence, we can graph the above function by joining the points (-4,0) and (0,8) in the graph. ( shown below )
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Answer:
Shopper spend $3 on Apples, $4 on Grapes and $3.5 on Oranges
Step-by-step explanation:
Cost of one pound of Apple = $2x
Cost of one pound of Grapes = $(6x-5)
Cost of one pound of Oranges = $(x+2)
A shopper purchases one pound each of apples, grapes, and oranges and spends $10.50.
It can be written as:
We need to find how much the shopper spend on each fruit.
First we need to find value of x by solving equation
Solving:
The value of x is: x=1.5
Now finding cost of one pound each fruit by putting x=1.5
Cost of one pound of Apple = $2x = 2(1.5) = $3
Cost of one pound of Grapes = $(6x-5) = (6(1.5)-5)= $4
Cost of one pound of Oranges = $(x+2)=(1.5+2)=$3.5
So,
Cost of one pound of Apple = $3
Cost of one pound of Grapes = $4
Cost of one pound of Oranges = $3.5
So, shopper spend $3 on apples, $4 on Grapes and $3.5 on Oranges