Question
Asked Nov 8, 2019
3 views
If y is directly proportional to x, and y=42 when x=7, find the constant of proportionality and write a formula for y in terms of x.
 
 
y=
 
Use the formula to find x when y is 24
x=
check_circle

Expert Answer

Step 1

Given that y is directly proportional to x or y x.

 

So we Can write this in other form as:

help_outline

Image Transcriptionclose

y a x now if x 7 and y= 42 then (42) k(7) k 6 so, the equation is of the fom y = 6x

fullscreen
Step 2

So, the constant is 6 and the formula for y in term of x is y = 6x

 

Step 3

Use the formula to find x when y is 24:

 

 

Consider y = 24 then we have:

...
help_outline

Image Transcriptionclose

6x = y 6x=24 24 x = 6 x = 4

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Calculus

Functions

Related Calculus Q&A

Find answers to questions asked by student like you
Show more Q&A
add