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sweet-ann [11.9K]
3 years ago
6

If (y) varies directly with x, and y=3 when x=0.2, what is the value of (y) when x=1?

Mathematics
2 answers:
Paladinen [302]3 years ago
7 0
As y varies directly with x, there is a proportionality constant. As x increases by that certain constant, y also increases. We equate:
y = kx
where k = proportionality constant.
Given the condition, y = 3 when x = 0.2, then we solve for k:
3 = k(0.2)
k = 3/0.2 = 15
When x = 1, then
y = 15(1) = 15 (ANSWER)
Luba_88 [7]3 years ago
4 0
_Brainliest if helped!!

since it varies directly, we form an equation ,  
Y =kX  where k is a constant
use the points given to find K ,
3 =0.2k , k = 15

So to get final answer, 

when x = 1 
y  = kx, = 1(15)
y= 15

Hence when x=1,    < y = 15 > 
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The unit rate of change of yyy with respect to xxx is the amount yyy changes for a change of one unit in xxx.
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2 years ago
Solve the system of equations. y = -5x + 24 y = 4x - 21 a. ( -5, -1) c. ( -1, 5) b. ( 5, -1) d. No solution
Svetlanka [38]

y = -5x + 24

y = 4x - 21

Since both of these equations are equal to Y, theyre equal to each other.

So we can make an equation with y = -5x + 24 in one side and y = 4x - 21 on the other.

-5x + 24 = 4x - 21

Now in order to get the value of x we need to isolate it in one side of the equation. We can do this by subtracting 24 from both sides of the equation:

-5x + 24 - 24 = 4x - 21 - 24

-5x = 4x - 45

Now we subtract 4x from both sides so the 4x shift to the other side

-5x - 4x = 4x - 4x - 45

-9x = -45

Finally divide both sides by -9 so x is by itself

(-9)÷(-9x) = -(45)÷(-9)

x = 5

Since we did all of this to BOTH sides of the equation, both sides are still equal to each other and the equation still is true.

Now apply x = 5 to either of the initial equations to find the value of Y

y = -5x + 24 or y = 4x - 21

(I'll do both but u only need one)

y = -5(5) + 24

y = -25 + 24

y = -1

y = 4(5) - 21

y = 20 - 21

y = -1

Either way, X is 5 and Y is -1

Answer (5, -1)

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What is the temperature change if it was -2°C midnight and then the next day the temperature had risen to 9°C
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Read 2 more answers
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