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
You multiply 55.25 by 0.18. You get 9.945 and then you add it to 55.25. You should get 65.195. Round it to $65.20. That's your answer.
Answer: 2.88/1
Step-by-step explanation:
Based on the number of seats on the balcony, the number of seats in the theatre are 600 seats.
<h3>What number of seats does the theatre have?</h3>
The balcony is said to have 120 seats and these are 1/5 of the total seats in the theatre.
The total number of seats in the theatre are:
= Number of seats on balcony / Proportion of seats this represents
Solving gives:
= 120 ÷ 1/5
= 120 ÷ 0.2
= 600 seats
Find out more on ratios and proportions at brainly.com/question/11041750.
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The answer should be 4. When you add 4 to the y-intercept of f(x), you get y=2. I hope this helps!