How can u show that two objects are proportional using a graph
1 answer:
You might be interested in
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
ANSWER
EXPLANATION
The given fraction is,
To get an equivalent fraction, we multiply both the numerator and the denominator by the same quantity that will give us
w²+w-20
in the denominator.
This implies that,
We multiply out the numerators and denominators using the distributive property to obtain,
This simplifies to
EXPLANATION
The given fraction is,
To get an equivalent fraction, we multiply both the numerator and the denominator by the same quantity that will give us
w²+w-20
in the denominator.
This implies that,
We multiply out the numerators and denominators using the distributive property to obtain,
This simplifies to
Let's build the equation counting how many x's and 1's are there on each side.
On the left hand side we have 5x's and 8 1's, for a total of
On the left hand side we have 3x's and 10 1's, for a total of
So, the equation we want to solve is
Subtract 3x from both sides:
Subtract 8 from both sides:
Divide both sides by 2: