Answered

At Westonci.ca, we provide clear, reliable answers to all your questions. Join our vibrant community and get the solutions you need. Get quick and reliable solutions to your questions from a community of seasoned experts on our user-friendly platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

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
JeanaShupp

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.

Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.