Math  /  Algebra

QuestionAttempt 1: 10 attempts remaining.
Translate the statement of variation below into an equation using kk as the constant of variation. ss varies jointly as gg and the square of tt.

Studdy Solution

STEP 1

What is this asking? We need to write an equation that shows how ss changes based on gg and tt, using kk as a constant. Watch out! "Varies jointly" has a specific meaning, so don't mix it up with other types of variation!

STEP 2

1. Define the relationship
2. Write the equation

STEP 3

"Varies jointly" means ss changes *directly* with both gg and the square of tt.
If gg goes up, ss goes up!
If tt goes up, ss goes up!
It's a party, and everyone's invited!

STEP 4

The square of tt is written as t2t^2.
This means tt multiplied by itself: ttt \cdot t.

STEP 5

When we say something "varies jointly", it means we *multiply* those things together, along with our constant of variation, which is kk.

STEP 6

So, ss varies jointly as gg and the square of tt translates to: s=kgt2 s = k \cdot g \cdot t^2

STEP 7

The equation representing the variation is s=kgt2s = k \cdot g \cdot t^2.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord