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3 years ago

If y varies directly with x and y = 2 when x = 10, then what is the value of y when x = 40? A. 8 B. 45 C. 200 D. 320

Mathematics

2 answers:

aivan3 [116]3 years ago

4 0

Answer:

Step-by-step explanation:

Leto [7]3 years ago

3 0

Answer:

Step-by-step explanation:

given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

to find k use the given condition y = 2 when x = 10

k = $\frac{y}{x}$ = $\frac{2}{10}$ = $\frac{1}{5}$

y = $\frac{1}{5}$ x ← equation of variation

when x = 40, then

y = $\frac{1}{5}$ × 40 = 8 → A

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Answer:

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Simora [160]

9514 1404 393

Answer:

$\square\quad{y=\dfrac{1}{2}x+4}\\\\\square\quad{\dfrac{y-5}{x-2}=\dfrac{1}{2}}$

Step-by-step explanation:

The slope of a line is the same everywhere, so an equation can be written making use of that fact.

$\dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}\\\\\dfrac{y-5}{x-2}=\dfrac{7-5}{6-2}=\dfrac{2}{4}\\\\\boxed{\dfrac{y-5}{x-2}=\dfrac{1}{2}}$

Cross-multiplying gives ...

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$\boxed{y=\dfrac{1}{2}x+4}$

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yawa3891 [41]

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