Question

Answer the question correctly for good luck

Answer 1

Answer:

• The equation connecting c and d is: c = kd
• The value of c when d=8 is: 48
• The value of d when c=54 is: 9

Step-by-step explanation:

Proportion can be defined as the effect of changing one quantity on the other.

Given that

‘c’ is directly proportional to‘d’

It can mathematically be written as:

c∝d

A constant is introduced in the equation when the proportionality symbol will be removed. The constant is called constant of proportionality

$c =kd$

Given that

c = 24 when d = 4

Putting the values

$24 = k(4)\\k = \frac{24}{4}\\k = 6$

Putting the value of k

$c = 6d$

Putting d = 8

$c = 6(8) = 48$

Putting c = 54

$54 = 6d\\d = \frac{54}{6}\\d = 9$

Hence,

• The equation connecting c and d is: c = kd
• The value of c when d=8 is: 48
• The value of d when c=54 is: 9