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1 answer:
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Answer:
Option C = 15
Step-by-step explanation:
In principle when a function <em>f(x) </em>varies directly with <em>x</em> it suggests that any changes in x results in the equivalent changes in<em> f(x)</em>. If we have two variables, i.e. <em>y</em> representing<em> f(x)</em> and <em>x</em> representing itself, any increment/decrement in <em>x</em> will result to the same increment/decrement in <em>y</em> by a factor <em>a, thus we can say that y = ax, implying y and x have the same ratio. </em>
In the given question we know that <em></em> when
<em>, </em>which translates as
This tells us that varies by a factor (lets call it)
for a given value of
.
To find this factor we can just divide 45 with 9 which gives:
Thus the factor here is
which finally tells us that
Eqn (1) our original function.
Since we now know our function we can plug in the value for and solve for
as follow:
Looking at the given options in the question we can conclude that the correct answer is Option C = 15
<h3>Hm ok, so the correct answer here would be (0,3) and heres why:</h3>
If the y would be equal to 0, everything would then just depend if you add or subtract the x:
Now the first answer could be correct for:
However, this answer is not correct for the other equation. the same true for all the other answers except (0,3)
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