Question

42) Find the value of x when y = 5, if x varies
directly as 4y-1 and x = 14 when y = 2.
b. 35
d. 28
a. 38
c. 10​

Answer 1

Answer:

38

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Answer 2

Answer:

The answer 'x' is 38

step-by-step explanation:

When two numbers are directly proportional, it indicates that if one increases by a specific percentage, the other also increases by that same percentage. As gas costs increase, the cost of food may as well as well. The relationship between two variables in which their ratio equals a constant value is known as a direct proportion. In other words, a straight proportion exists when a change in one quantity results in an equal change in the other, or when a change in one number causes a change in the other.

given $x$ varies directly as $4y-1$

$x$  $\alpha$  $4y-1$

$x = k(4y-1)$

k = any proportionality constant

$x = 14, y = 2$

$14 = k(4*2-1)$

$14 = k*7$

$k = 2$

$x = 2(4y-1)$

   $= 8y-2$

we have to find x for $y = 5$

$x = 8*5-2$  

  $= 40-2$

  $= 38$

Therefore, the answer $x$ is $38$

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