Question

A florist prepares an order of daisies and roses. For every 5 daisies she orders 2 roes. What 2 equations show the relationship between the number of daisies d and the number of roses r ?

Answer 1

Answer:

$d = 2.5r$ and $r = \frac{d}{2.5}$

Step-by-step explanation:

Given

5 daises to 2 roses

Required

Determine the relationship between them

The question shows a direct proportion between number of daises and roses.

i.e.

$d\ \alpha\ r$

Where d = daises and r = roses

Convert the above expression to an equation

$d = kr$

Make k the subject

$k = \frac{d}{r}$

When d = 5 and r = 2;

$k = \frac{5}{2}$

$k = 2.5$

So, the first relationship between d and r can be gotten by substituting 2.5 for k in d = kr

So:

$d = 2.5 * r$

$d = 2.5r$ ----------- (1)

Make r the subject in (1)

$r = \frac{d}{2.5}$ ------------------------(2)

Hence, the relationships between d and r are:

$d = 2.5r$ and $r = \frac{d}{2.5}$