How do you write each real-world example as a rate using labels and then the unit rate: Mrs. Thomas charges $60 for 120 minutes of tutoring?

Question

How do you write each real-world example as a rate using labels and then the unit rate: Mrs. Thomas charges $60 for 120 minutes of tutoring?

1 Answer

Impact of this question

1730 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-02-27T15:26:35

See the explanation

Explanation:

Let time be $t$ $t$
Let cost be $c$ $c$

Basing unity to be time

The units of measurement for time in the question is given as minutes. $So using the same unites as in the question we have:$ $color(brown)("So using the same unites as in the question we have:")$

Using ratio: $\frac{cost}{time} \to \frac{c}{t} = \frac{$ 60}{120}$ $("cost")/("time") ->c/t=($60)/120$

To make unit time we need to convert the 120 minutes into 1 minute

So we have: $\frac{$ 60.00 \div 120}{120 \div 120} = \frac{$ 0.50}{1}$ $($60.00-:120)/(120-:120) = ($0.50)/1$

For unit time to be 1 minute the charge is $0.50
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
$However, unit charge is normally stated as cost per hour.$ $color(brown)("However, unit charge is normally stated as cost per hour. ")$

So to change this to that form we need 60 minute

$\frac{$ 0.50 \times 60}{1 \times 60} = \frac{$ 30}{60 minute}$ $($0.50xx60)/(1xx60) = ($30)/(60" minute")$

But 60 minutes is the same as 1 hour giving:

$\frac{$ 30}{1 hour}$ $($30)/(1" hour")$

Science

Math

Humanities

... and beyond

How do you write each real-world example as a rate using labels and then the unit rate: Mrs. Thomas charges $60 for 120 minutes of tutoring?

1 Answer

Explanation:

Related questions

Impact of this question