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3 years ago

In a direct variation, y=18 when x=9. Write a direct variation equation that shows the relationship between x and y

Mathematics

1 answer:

Jobisdone [24]3 years ago

3 0

Answer:

y = 2x

Step-by-step explanation:

since x and y vary directly then the equation is

y = kx ← k is the constant of variation

to find k use the given condition y = 18 when x = 9

k = $\frac{y}{x}$ = $\frac{18}{9}$ = 2, hence

y = 2x ← is the equation relating x and y

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mr_godi [17]

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3 years ago

Ms Thomas drove at a constant rate for 45. She drove 39 miles during that time. If distance is determined by the equation d=rt w

Cerrena [4.2K]

Answer:

Ms. Thomas was driving at constant rate of 52 miles/hour.

Step-by-step explanation:

Given:

Total time to travel (t) = 45 minutes

Distance drove (d) = 39 miles

we need to find the constant rate in miles per hour at which she was driving.

Solution:

Now we know that;

We need to find constant rate at miles per hour;

But time is given in minutes.

So we will convert minutes into hour by dividing by 60 we get;

time $t =\frac{45}{60}= 0.75\ hrs$

Now we know that;

Distance is equal to rate times time.

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6 0

3 years ago

In relation t a functions? Is the inverse of relation t function

frozen [14]

Answer:

Relation t is a function. The inverse of relation t is not a function ⇒ 3rd

Step-by-step explanation:

* Lets explain how to solve the problem

- A relation is a set of inputs and outputs, and a function is a relation

with one output for each input

- Ex: T = {(1 , 2) , (3 , 5) , (-4 , 0)} is a function because every input has

only one output

- To find the inverse of a function we switched the input and the

out put

- The inverse of a function may not always be a function

* Lets solve the problem

∵ The relation t is the set of ordered pairs of x and y

x = 0 2 4 6

y = -8 -7 -4 -4

∵ x = 0 has only y = -8

∵ x = 2 has only y = -7

∵ x = 4 has only y = -4

∵ x = 6 has only y = -4

∴ Every value of x has only one value of y

∴ Relation t is a function

* Lets find its inverse by switching x and y

∵ The inverse function of t is :

x = -8 -7 -4 -4

y = 0 2 4 6

∵ x = -8 has only y = 0

∵ x = -7 has only y = 2

∵ x = -4 has y = 4 and y = 6

∴ Not every value of x has only one value of y

∴ The inverse of relation t is not a function

* Relation t is a function. The inverse of relation t is not a function

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3 years ago

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Dafna11 [192]

hey there

the answer is

220

thanks

SAVAGELEGEND72

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3 years ago

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aleksandr82 [10.1K]

4 because 2.5 x 4 = 10 :)

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3 years ago

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