30.03.2023

What other points are on the line of direct variation through (5, 12)? check all that apply. (0, 0) (2.5, 6) (3, 10) (7.5, 18) (12.5, 24) (15, 36)

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Step-by-step answer

17.02.2022, solved by verified expert
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we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form What other points are on the line of direct variation, №15223020, 30.03.2023 17:11 or What other points are on the line of direct variation, №15223020, 30.03.2023 17:11

in this problem we have

the point What other points are on the line of direct variation, №15223020, 30.03.2023 17:11 is on the line of direct variation

so

Find the constant of proportionality k

What other points are on the line of direct variation, №15223020, 30.03.2023 17:11-------> substitute ------> What other points are on the line of direct variation, №15223020, 30.03.2023 17:11

the equation is

What other points are on the line of direct variation, №15223020, 30.03.2023 17:11

Remember that

If a point is on the line of direct variation

then

the point must satisfy the equation of direct variation

we're proceeding to verify each point

case A) point What other points are on the line of direct variation, №15223020, 30.03.2023 17:11

What other points are on the line of direct variation, №15223020, 30.03.2023 17:11

Substitute the value of x and y in the direct variation equation

What other points are on the line of direct variation, №15223020, 30.03.2023 17:11

What other points are on the line of direct variation, №15223020, 30.03.2023 17:11 -------> is true

therefore

the point What other points are on the line of direct variation, №15223020, 30.03.2023 17:11 is on the line of direct variation

case B) point What other points are on the line of direct variation, №15223020, 30.03.2023 17:11

What other points are on the line of direct variation, №15223020, 30.03.2023 17:11

Substitute the value of x and y in the direct variation equation

What other points are on the line of direct variation, №15223020, 30.03.2023 17:11

What other points are on the line of direct variation, №15223020, 30.03.2023 17:11 -------> is true

therefore

the point What other points are on the line of direct variation, №15223020, 30.03.2023 17:11 is on the line of direct variation

case C) point What other points are on the line of direct variation, №15223020, 30.03.2023 17:11

What other points are on the line of direct variation, №15223020, 30.03.2023 17:11

Substitute the value of x and y in the direct variation equation

What other points are on the line of direct variation, №15223020, 30.03.2023 17:11

What other points are on the line of direct variation, №15223020, 30.03.2023 17:11 -------> is not  true

therefore

the point What other points are on the line of direct variation, №15223020, 30.03.2023 17:11 is not on the line of direct variation

case D) point What other points are on the line of direct variation, №15223020, 30.03.2023 17:11

What other points are on the line of direct variation, №15223020, 30.03.2023 17:11

Substitute the value of x and y in the direct variation equation

What other points are on the line of direct variation, №15223020, 30.03.2023 17:11

What other points are on the line of direct variation, №15223020, 30.03.2023 17:11 -------> is true

therefore

the point What other points are on the line of direct variation, №15223020, 30.03.2023 17:11 is on the line of direct variation

case E) point What other points are on the line of direct variation, №15223020, 30.03.2023 17:11

What other points are on the line of direct variation, №15223020, 30.03.2023 17:11

Substitute the value of x and y in the direct variation equation

What other points are on the line of direct variation, №15223020, 30.03.2023 17:11

What other points are on the line of direct variation, №15223020, 30.03.2023 17:11 -------> is not true

therefore

the point  What other points are on the line of direct variation, №15223020, 30.03.2023 17:11 is not on the line of direct variation

case F) point What other points are on the line of direct variation, №15223020, 30.03.2023 17:11

What other points are on the line of direct variation, №15223020, 30.03.2023 17:11

Substitute the value of x and y in the direct variation equation

What other points are on the line of direct variation, №15223020, 30.03.2023 17:11

What other points are on the line of direct variation, №15223020, 30.03.2023 17:11 -------> is true

therefore

the point What other points are on the line of direct variation, №15223020, 30.03.2023 17:11 is on the line of direct variation

therefore

the answer is

What other points are on the line of direct variation, №15223020, 30.03.2023 17:11

What other points are on the line of direct variation, №15223020, 30.03.2023 17:11

What other points are on the line of direct variation, №15223020, 30.03.2023 17:11

What other points are on the line of direct variation, №15223020, 30.03.2023 17:11

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Faq

Mathematics
Step-by-step answer
P Answered by Specialist

Here's the answers and graph


What other points are on the line of direct variation through (5, 12)?  check all that apply. (0, 0)
Mathematics
Step-by-step answer
P Answered by Master

Here's the answers and graph


What other points are on the line of direct variation through (5, 12)?  check all that apply. (0, 0)
Mathematics
Step-by-step answer
P Answered by PhD

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

Mathematics
Step-by-step answer
P Answered by PhD

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45 

Mathematics
Step-by-step answer
P Answered by PhD

The solution is in the following image

The solution is in the following image
Mathematics
Step-by-step answer
P Answered by PhD

y=2x+15

where y=Value of coin

x=Age in years

Value of coin after 19 years=2*19+15

=$53

Therefore, Value after 19 years=$53

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