Practice Sum If y is inversely proportional to x and y=4 when x=3

i) Express y in terms of X

ii) Find the value of y when x=6

I) y = 1/x

ii) y = 1/6

Step-by-step explanation:

inversely proportional just means that the right hand side is the inverse of the left hand side of an equation.

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation: