Question

How do you write an algebraic expression that models the word phrase “Number of minutes in h hours”?

Answer 1

Hint: Variables are the symbols representing some changing quantities. We write the algebraic expressions using these variables. Algebraic expression is an expression which involves variables and numbers by mathematical operators. An algebraic expression like $$x=2y-1$$, can be read as “x is equal to twice of y minus 1”.

Complete step by step answer:
As per the given question, we are given an algebraic expression in the form of a word phrase. We have to express this algebraic expression using the given word phrase. Here, we have to find the algebraic expression for the word phrase “Number of minutes in h hours”.
Generally, when we are asked for the conversion of questions involving algebra, we have to try a few number examples first to get the required solution. Like, when we say 2 hours, it means $$2\times 60$$ minutes which is equal to 120 minutes. And, if we say $${\displaystyle \frac{1}{2}}$$ an hour, it means $${\displaystyle \frac{1}{2}}\times 60$$ minutes which is equal to 30 minutes.
We can say the above values because there are 60 minutes in an hour. So, we can change any number of hours into minutes using the formula $${}^{″}hours\times {60}^{″}$$.
  Hence, we can find the number of minutes in h hours as $$h\times 60$$ minutes which is equal to $$60h$$ minutes.

$$\therefore h\times 60=60h$$ minutes is the required algebraic expression of the word phrase “Number of minutes in h hours”.

Note: While converting the word phrases into algebraic expressions, we need to understand the word phrase correctly. Wrong interpretation leads to wrong solutions. Like when we multiply by 3600 instead of 60 for the word phrase “minutes in h hours”. We should avoid calculation mistakes to get the correct answer.