Answered

IDNLearn.com offers a comprehensive solution for all your question and answer needs. Our platform offers reliable and comprehensive answers to help you make informed decisions quickly and easily.

If f(x) varies directly with x and f(x) = 2 when x = 10, then what is the value of f(x) when x = 40?

a.8
b.45
c.200
d.320

Sagot :

this is simple multiplication
do 2*4 and 10*4
so you get f(x)=8 and x=40

if you wanna do it by doing division do
2=10
f(x)=40
cross multiply then divide
so do 2*40 to get 80
then do 80/10 to get 8
JeanaShuppidn

Answer: a.8

Step-by-step explanation:

Given : If f(x) varies directly with x and f(x) = 2 when x = 10

We know  if two quantities (x and f(x)) are directly proportional then

[tex]\frac{x_1}{f(x_1)}=\frac{x_2}{f(x_2)}[/tex]

Now, for the given problem we have ,

[tex]\frac{10}{2}=\frac{40}{f(40)}\\\\\Rightarrow\ f(40)=\frac{40\times2}{10}\\\\\Rightarrow\ f(40)=8[/tex]

Hence, if  x = 40, then f(x)=8.

Thank you for being part of this discussion. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. IDNLearn.com is your reliable source for answers. We appreciate your visit and look forward to assisting you again soon.