A telephone company charges a fixed monthly rate plus a rate per megabyte of data used. The company charges $135 for 100 megabytes of data and $375 for 500 megabytes of data. An equation can be written to show the relationship between the total megabytes used (x) and the total monthly charges (y). Which of the following best describes the steps to draw the graph? Draw a graph that joins the points (135, 100) and (375, 500) and has a slope = 0.6 Draw a graph that joins the points (100, 135) and (500, 375) and has a slope = 0.6 Draw a graph that joins the points (100, 135) and (500, 375) and has a slope = 1.67 Draw a graph that joins the points (135, 100) and (375, 500) and has a slope = 1.67
Answers
Answer:
Second option: Draw a graph that joins the points and
and has a
Step-by-step explanation:
We know that the company charges $135 for 100 megabytes of data and $375 for 500 megabytes of data.
This gives us two points:
Then, we can find the slope of the line with this formula:
In this case we can identify that:
Substituting these values into the formula, we get that the slope is:
Therefore the best description for the steps to draw the graph is:
Draw a graph that joins the points and
and has a slope of 0.6
Draw a graph that joins the points (100, 135) and (500, 375) and has a slope = 0.6 is correct.
To represent the relationship between total megabytes used (x) and total monthly charges (y).
We need to create a linear equation in the form of y = mx + b, where m is the slope and b is the y-intercept.
Given that the telephone company charges $135 for 100 megabytes of data and $375 for 500 megabytes of data, we have two points: (100, 135) and (500, 375).
The slope (m) can be calculated using the formula:
m=y₂-y₁/x₂-x₁
m=375-135/500-100
=240/400
=0.6
So, the correct option is Draw a graph that joins the points (100, 135) and (500, 375) and has a slope = 0.6.
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Answer:
5
Step-by-step explanation:
To get how much of the board remained, we simply subtract the length Emmet cut from the initial length of the board
Initial length of the board = 8
Length cut out = 2
=
Length of board remained = Initial length of board - Length cut out
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=
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Answers
The value of the expression, when the value of x equal to 5, will be 36.
What is Algebra?
The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
The expression is given as,
⇒ 4(2x – 1)
On applying distributive property, we have
⇒ 8x – 4
Then the value of the expression when the value of x equal to 5, will be
⇒ 8 x 5 – 4
⇒ 40 – 4
⇒ 36
More about the Algebra link is given below.
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Answer:
36
Step-by-step explanation:
4(2(5) -1)
4(10-1)
40-4
=36
OR
**You can subtract 10 and 1 first instead of distributing 4 into each number. Either way, you still get 36**
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Answer:
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Answer:
a. 28/50
d. 10/52
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Step-by-step explanation:
a. half of deck is black add the two red jacks
d. all of even card (2,4,6,8,10 times 2 because 2 blacks per colour)
e. all cards are either red or black