Question

How do you solve this?

Answer 1

Answer:

The rule linking the given variables is the "division rule"

a) d / t = 600/12    ∴ d = 50t

b) g / t = 12/6         ∴ g = 2t

c) $C / n = 100/80        ∴  $C = 1.25n

d) $P / t = 10,000/500       ∴ $P = 20t

Step-by-step explanation:

The rule linking the given variables is the "division rule"

a) For every 12 hours, 600 km is covered   ==> $\frac{d(km)}{t(hrs)}$ distance per time

b) Every 6 months, the calf grows 12 cm     ==> $\frac{g(cm)}{time(months)}$  height per time

c) Every $100 can buy 80 litres of petrol     ==> $\frac{C(dollars)}{n(litres)}$  Cost per litres

d) In every 500 tonnes, profit is $10,000    ==> $\frac{P(dollars)}{t(tonnes)}$ Profit per tonnes

Answer 2

Step-by-step explanation:

a)

$\frac{d}{t} = \frac{600}{12}$

$\frac{d}{t} = 50$

$d = 50t$

b)

$\frac{g}{t} = \frac{12}{6}$

$\frac{g}{t} = 2$

$g = 2t$

c)

$\frac{c}{n} = \frac{100}{80}$

$\frac{c}{n} = \frac{5}{4}$

$c = \frac{5}{4} n$

d)

$\frac{p}{t} = \frac{10000}{500}$

$\frac{p}{t} = 20$

$p = 20t$