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:
The correct evaluation is 1 1/3 (one and one-third) and not 16 and one-third
Step-by-step explanation:
The student was wrong in his evaluation because the correct result should be 1 1/3 (one and one-third) and not 16 and one-third
The expression '1/3 more than the product of four and a number' means
(4g + 1/3)
Evaluating the expression when g = 1/4
You will have
4×1/4 + 1/3
= 1/1 + 1/3
Find the LCM of 1 and 3 and add
= (3+1)/3
=4/3
= 1 1/3
The correct evaluation is 1 1/3 (one and one-third) and not 16 and one-third
Answer:
|-8|=8
|10|=10
Step-by-step explanation:
any negative number between the two slashes '||' equals to always a positive number
and a positive number between the two slashes '||' remains the same
Answer:
79% decrease
Step-by-step explanation:
Subtract 6400-1344=5056
Find percent decrease (5056/6400)x100=79
79% decrease is our final answer
Answer:
slope=9/8
Step-by-step explanation:
hope this help