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yanalaym [24]
3 years ago
15

Write a word problem that involves comparing unit rates

Mathematics
1 answer:
uysha [10]3 years ago
4 0

Last month, my house used 1,740 kilowatt-hours of electrical energy,
and the part of my bill that charged for the electricity was  $226.20 .

For the same month, my brother in Boston used 1,175 kilowatt-hours
of energy, and the energy part of HIS bill was $199.75 .

Which of us gets the better deal on his electrical energy ?

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The graph relates the distance traveled by Train A, in miles, and the time taken, in hours. The table shows the distance travele
melomori [17]

Answer:A)

Yes, the relationship is proportional.

B)

66,000 miles.

Step-by-step explanation:

A)

Yes, the graph represents a proportional relationship.

Since, A proportional relationship is one in which two quantities vary directly with each other. We say the variable y varies directly as x if:  

y=kx

for some constant k , called the constant of proportionality .

As y=12000x hence the relationship is proportional.

B)

We calculate the equation of the graph with the help of two points on the graph namely (2,24000) and (4,48000) with the help of slope-intercept form of the line.

y=mx+c where m denotes the slope of the line and c denotes the y-intercept of the line.

Here when x=2 y=24000 and when x=4 y=48000

Hence, 24000=2x+c

and 48000=4x+c

on subtracting the above two equations we have:

m=12000 and c=0

Hence, the equation of line is y=12000x

Now the value at x=5.5 is:

y=12000×5.5=66,000

Hence, the number of miles the probe travels in 5.5. hours is 66,000 miles.

Step-by-step explanation:

4 0
2 years ago
2. A line passes through points (-1,-2) and (1,4). What is the equation of the line? TI​
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plug that into the point slope formula, with either point. generally use the most simple point
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y+2 = -2(x-2)

simply if you want

Y = -2x +4 -2 = -2x +2

or

2x +y = 2
5 0
3 years ago
Compared to its 'parent' function f(x)=x^2, describe the changes if f(x)=-x^2-3?
zimovet [89]

Answer:

it opens down meaning it has a maximum instead of a minimum. the graph has a horizontal shift of 3 spaces to the right

Step-by-step explanation:

6 0
3 years ago
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