Question

QUESTION 1

y is directly proportional to x.
x is inversely proportional to t.
When y = 8, x = 2 and t = 6.
Find the value of t when y = 96

Answer 1

t = 72

Explanation:

1. Direct Variation between y and x

When y = 8, x = 2

Formula: y = kx

8 = k(2) --> k = 4

y = 4x

2. Direct Variation between x and t

When x = 2, t = 6

2 = k(6) --> k = 1/3

x = 1/3 t

When y = 96:

96 = 4(x) --> x = 24

24 = 1/3(t) --> t = 72

hope this helps! <3