Question

The equation c= 0.25n can be used to find the cost (c) of buying n number of apples.

Answer 1

Answer:

(a) The constant of proportionality is 0.25

(b) 1 apple = $0.25

(c) $3 = 12 apples

Step-by-step explanation:

Given

$c= 0.25n$

Solving (a): The constant of proportionality;

For an equation:

$c=kn$

Where

k = constant of proportionality

By comparing: $c=kn$ to $c= 0.25n$

$k = 0.25$

Hence, the constant of proportionality is 0.25

Solving (b): What information does $k = 0.25$ gives.

It represents the unit rate.

So, it means that 1 apple costs $0.25

Solving (c): Number of apples for $3.

This means that $c = 3$

Substitute 3 for c in $c= 0.25n$

$3 = 0.25n$

Make n the subject

$n = \frac{3}{0.25}$

$n = 12$